Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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point, line, ray, or line segment
Line segment
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rotate (-2, -6) 90° clockwise about the origin. what is the resulting p…
$(-6,2)$
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a line is also a ray.
False
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determine if there is a proportional relationship between the length of…
| Square (cm) | Side lengths (cm) | Area ($cm^{2}$) | | ---- | ---- | ---- | | A | 4.1 | 16.81 | | B | 5.1 | 26.01 | | C | 5.5 | 30.25 | | D | 6 | 36 |
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the angle 60° is shown below in standard position, together with a unit…
$\frac{\sqrt{3}}{3}$
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which one is a ray?
d
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in the figure below, m∠1 = 26° and m∠bad = 55°. find m∠2
$29$
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name zaylen franci 1. what transformation was used to generate figure b…
b. Counterclockwise rotation 90° about the origin 2.
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a 12 - foot pole is supporting a tent and has a rope attached to the to…
C. $\frac{10}{\cos40^{\circ}}\approx13.1$ feet
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in which quadrant is the point (-2, -6)? o i o ii o iii o iv
C. III
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9) find e if $overline{wx}congoverline{xy}.$ w 30 x y e
$30$
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what is the value of x to the nearest hundredth? 14 65° x 12.69 33.13 3…
33.13
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determine if there is a proportional relationship between the length of…
Yes, there is a proportional relationship between the length of the diagonals and the perimeters of the squares. The perimeters of squares A, B, C, and D are 10.8 cm, 13.2 cm, 16 …
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in the figure, m∠1=(2x)° and m∠2=(x + 93)°. (a) write an equation to fi…
(a) Equation: $2x+(x + 93)=180$ (b) $m\angle1 = 58^{\circ}$ $m\angle2 = 122^{\circ}$
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what lines are perpendicular line sr & line su line pn and line pq line…
line SR & line SU, line SP & line PQ
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name an angle (just the letters)
∠ABE (Other valid answers could be ∠EBD, ∠DBC, ∠ABC, etc.)
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what angle is supplemental to 80°? 100° 90° 80° 20°
A. \(100^{\circ}\)
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shirley is drawing triangles that have the same area. the base of each …
12 and 7
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in the figure, m∠1=(x + 12)° and m∠2=(5x)°. (a) write an equation to fi…
(a) Equation: $(x + 12)+5x=180$ (b) $m\angle1 = 40^{\circ}$ $m\angle2 = 140^{\circ}$
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name the figure line kl line lk ray lk ray kl
ray LK
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the volume of a pyramid varies jointly with the base area of the pyrami…
35
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the midpoint of a (11, 12) and b (x, y) is (2, 17). what is b? (13,29) …
C. (-7, 22)
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angle c is an acute angle with cos c = 5/9 and cot c = 5/√56. what are …
$\sec C=\frac{9}{5},\tan C=\frac{\sqrt{56}}{5}$
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which one is a line?
d
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what are the values of sin x and tan y in the triangle below? sin x = 3…
$\sin X=\frac{3}{\sqrt{34}},\tan Y=\frac{5}{3}$ (corresponding to the last option in the multiple - choice list)
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6. liana just purchased a new set of pencil crayons for an art class. e…
$14.9$ $cm^{3}$ ### 6. b. The pencils are arranged in two rows of six. The length of the box will be equal to the length of a pencil, $l = 19.0$ cm. The width of the box will be t…
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3) find x if m is a midpoint. a 3x - 1 m x + 7 b
$x = 4$
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use the figure to complete each part. (a) name the sides of ∠2. (b) wri…
(a) $\overrightarrow{QR}$, $\overrightarrow{QS}$ (b) ∠RQT, ∠TQR (c) Q
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in the figure below, m∠abd = 92°, and m∠2 is 8° more than m∠1. find m∠1.
$42$
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segment $ab$ measures 3 centimeters. point $o$ is the center of dilatio…
0.6 cm 3s cm
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the end of a hose was resting on the ground, pointing up an angle. sal …
3.2 feet
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3. cereal boxes come in various sizes. for example, the family - sized …
The capacity of the family - sized box is $9108$ $cm^3$ and the capacity of the regular - sized box is $5708.075$ $cm^3$.
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the perimeter of the rectangle is select choice units. the area of the …
# Explicación: ## Paso 1: Encontrar longitudes de lados Supongamos que los vértices del rectángulo son \(A(x_1,y_1)\), \(B(x_2,y_2)\), \(C(x_3,y_3)\) y \(D(x_4,y_4)\). Usando la d…
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c. a hexagonal prism that has a height of 5 inches and a base with dime…
225 cubic inches
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3. why was dr. linus pauling unpopular in some circles? dr. pauling was…
Dr. Pauling was unpopular due to his opinion on nuclear weapons testing.
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b. a rectangular prism that is 8 cm by 10 cm by 30 cm we know
$2400$ $cm^{3}$
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what is the value of c? c = □°
23
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2. calculate the volume of the following prisms and cylinders. round to…
$60$ in³
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lesson 4: drilling for understanding 1. most food products are sold in …
1. A bag of popcorn. The packaging has a lot of empty space to prevent the popcorn from getting crushed and also to make the package look more voluminous. 2. A can of Pringles. Th…
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question identify a pair of segments that are marked perpendicular to e…
$\overline{QO}$ is perpendicular to $\overline{PT}$
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identify a pair of segments that are marked perpendicular to each other…
$QO$ is perpendicular to $PT$
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geometry vocabulary assessment part a - visual recognition (images) dir…
1. Intersecting lines 2. Parallel lines cut by a transversal 3. Perpendicular lines 4. Supplementary angles 5. Distance formula 6. Angle 7. Remote interior angles
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point g is located at (5, -2). determine the coordinates of the image a…
Coordinates after 180 - degree rotation: $(-5,2)$ Coordinates after translation: $(-7,3)$
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2. in the space provided, give an example of a referent you might use t…
a. A cubic - yard dumpster b. A 50 - gallon plastic tote c. A 2 - liter soda bottle d. A large suitcase
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identify a pair of segments that are marked perpendicular to each other…
$\overline{TW}$ is perpendicular to $\overline{UX}$
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question determine if triangle d e f and triangle g h i are or are not …
The triangles \(\triangle DEF\) and \(\triangle GHI\) are not similar.
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determine if triangle stu and triangle vwx are or are not similar, and,…
The triangles $STU$ and $VWX$ are similar by the SAS (Side - Angle - Side) similarity criterion.
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what is the value of x?
# Explicación: ## Paso 1: Identificar el ángulo complementario Los ángulos adyacentes en una recta recta suman 180°. Aquí, $x + 73^{\circ}=180^{\circ}$. ## Paso 2: Resolver para $…
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the mid - point of $overline{ab}$ is $m(1,2)$. if the coordinates of $a…
$(-6,8)$
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determine if triangle nop and triangle qrs are or are not similar, and,…
The triangles $NOP$ and $QRS$ are similar by the Side - Angle - Side (SAS) similarity criterion.
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the midpoint of $overline{ab}$ is $m(-2,-3)$. if the coordinates of $a$…
$(4, -1)$
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determine if triangle ijk and triangle lmn are or are not similar, and,…
not similar
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what is m∠cbd?
# Explicación: ## Paso 1: Identificar ángulos relacionados Sabemos que ∠CBE es un ángulo recto de 90°. ## Paso 2: Usar la relación de ángulos Como ∠CBE = ∠CBD+∠DBE y ∠DBE = 59°, e…
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what is the complement to a 26° angle?
$64°$
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find the midpoint of the segment with the following endpoints. (2,1) an…
$(6,3.5)$
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what is the value of x? (8x - 10)° 110°
# Explicación: ## Paso 1: Aplicar propiedad de ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Entonces, \(8x - 10=110\). ## Paso 2: Resolver la e…
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what is the value of x?
$x = 50$
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items 11 - 15. lines a, b, c and d intersect as shown. 11. which pair o…
B. \(a\) and \(c\) ### 12. What is \(x\)?
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what is the value of x?
$x = \frac{40}{7}$
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what is the ratio of circles to total shapes in each row below:
Row U: $\frac{1}{2}$ Row V: $\frac{3}{7}$ Row C: $\frac{1}{5}$ Row L: $\frac{4}{5}$ Row G: $\frac{1}{6}$
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2. using the picture of a ruler below, determine the measurements of ea…
a. 11.2 cm b. 12.7 cm c. 14.8 cm d. 15.8 cm
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132° (3x + 36)° 54° what is the value of x? ©2016 megan wallen (\math w…
# Explicación: ## Paso 1: Aplicar la propiedad de ángulos opuestos por el vértice Los ángulos $(3x + 36)^{\circ}$ y $54^{\circ}$ son ángulos opuestos por el vértice, entonces son …
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which of the following options is a pair of alternate exterior angles? …
$\angle1$ and $\angle9$
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what is the value of x? 73° x°
# Explicación: ## Paso1: Saber que la suma de ángulos es 90°. $73^{\circ}+x^{\circ}=90^{\circ}$ ## Paso2: Despejar x. $x = 90 - 73$ # Respuesta: $x = 17$
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what is the value of x?
$x = 103.5$
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find the measure of the missing angles. answer attempt 1 out of 2 d = e…
# Explicación: ## Paso 1: Encontrar el ángulo \(d\) Los ángulos verticales son iguales. El ángulo opuesto a \(d\) se forma con los ángulos de \(69^{\circ}\) y \(32^{\circ}\). Ento…
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fill in the blank with the correct term. (1 point) the of a conditional…
converse
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part 1 - matching corresponding parts of congruent triangles. use 3 col…
Congruent Sides: $\overline{CB}\cong\overline{FE}$, $\overline{BA}\cong\overline{ED}$, $\overline{AC}\cong\overline{DF}$ Congruent Angles: $\angle C\cong\angle F$, $\angle B\cong\…
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17. if m∠2 = 125°, m∠12 = 37° and m∠18 = 102°, find the measure of each…
a. $m\angle1 = 55^{\circ}$ b. $m\angle3 = 125^{\circ}$ c. $m\angle4 = 55^{\circ}$ d. $m\angle5 = 55^{\circ}$ e. $m\angle6 = 125^{\circ}$ f. $m\angle7 = 55^{\circ}$ g. $m\angle8 = …
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question find the midpoint of the segment with the following endpoints.…
$(3.5,5.5)$
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the coordinate plane and equations of lines reading a point in the coor…
$(6,7)$
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question find the midpoint of the segment with the following endpoints.…
$(-7,-2.5)$
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how far is a 100 - meter tall object if it makes an angle of 2 degrees …
# Explicación: ## Paso1: Aplicar la tangente trigonométrica Sabemos que $\tan(\theta)=\frac{altura}{distancia}$. Aquí, $\theta = 2^{\circ}$ y la altura es 100 metros. Entonces, $\…
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from unit 1, lesson 2 in the construction, a is the center of one circl…
B. CB
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four quadrant graphing puzzle sequence of points with a line. (-6,-2), …
The graph is created by plotting each point in the given sequences on the four - quadrant graph and connecting the points within each sequence with a line.
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find the midpoint of the segment with the following endpoints. (9,8) an…
$(7,4.5)$
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29° 112° what is the value of x?
$x = 83$
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read the passage. making towers bird - friendly the lights on tall comm…
To save birds, communication towers have begun using blinking lights.
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what is the value of x? (7x)° 40°
# Explicación: ## Paso1: Aplicar la propiedad de ángulos opuestos por el vértice Los ángulos $(7x)^{\circ}$ y $40^{\circ}$ son ángulos opuestos por el vértice, entonces son iguale…
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an angle measures 00° more than the measure of its complementary angle.…
15°, 75°
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find the volume of each solid. a. a cylinder with radius 4 inches and h…
# Explicación: ## Paso 1: Fórmula del volumen del cilindro El volumen $V$ de un cilindro se calcula con la fórmula $V=\pi r^{2}h$, donde $r$ es el radio y $h$ es la altura. ## Pas…
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height = tan(angle) * distance what is the height of the building? 45 m…
10 m
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the importance of japans cherry blossoms in the northeastern united sta…
Americans appreciate the colorful leaves of fall, but the Japanese view the cherry blossoms of spring as part of their culture.
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solving two - step equations color - by - number name: glenda solve the…
1. A. 2 2. B. 6 3. C. 6 4. D. 3 5. C. 2 6. A. 4 7. E. 15 8. B. 2 9. C. 2 10. A. $\frac{5}{2}$ 11. B. 6 12. D. 16 13. A. 2 14. D. $\frac{4}{5}$ 15. D. 4
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use what youve learned about similar triangles to find the height of th…
C. h = 20 ft
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from unit 1, lesson 2 here is a diagram. starting with two marked point…
1. Set compass width as AB. 2. Draw circles centered at A and B. 3. Connect intersection points C, D with A and B using straight - edge.
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these two triangles are similar and proportional. what is the measure o…
# Explicación: ## Paso 1: Establecer la proporción Dado que los triángulos son similares, $\frac{BC}{AC}=\frac{RS}{QS}$. Sustituyendo valores, $\frac{7}{2}=\frac{m}{6}$. ## Paso 2…
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1. each small square represents 1 square centimeter. a. sketch and labe…
# Explicación: ## Paso 1: Fórmula del volumen del cilindro El volumen de un cilindro se calcula con la fórmula $V=\pi r^{2}h$, donde $r$ es el radio y $h$ es la altura. ### a. Cil…
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what is the value of x? x° 112°
# Explicación: ## Paso1: Aplicar el hecho de ángulos opuestos por el vértice Los ángulos opuestos por el vértice son iguales. Aquí, el ángulo $x$ y el ángulo de $112^{\circ}$ son …
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question find the midpoint of the segment with the following endpoints.…
$(3,-\frac{7}{2})$
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unit 3 lesson 2 practice problems 1. each small square represents 1 squ…
1. **Respuesta para la pregunta de la rotación de la figura bidimensional (parte 1 del problema):** - **a. Sketch (dibujo):** - Al rotar una figura bidimensional rectangular alred…
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multiple - choice question congruence means same measure different meas…
A. same measure
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warm up: do these triangles appear to be congruent? why or why not? wha…
We can measure the side lengths and angles of the two triangles and apply congruence criteria like SSS, SAS, ASA, AAS or HL to determine if they are congruent.
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part 1 (1 point) the graph below illustrates the demand and supply for …
Part 1: The equilibrium price (where the two curves intersect) Part 2: Calculate consumer surplus using triangle - area formula for the area above price and below demand curve at …
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what is the value of x?
# Explicación: ## Paso1: Identificar la relación angular Sabemos que el ángulo recto mide 90°. Entonces, 2x + 32 = 90. ## Paso2: Resolver para x Restamos 32 de ambos lados: 2x=90 …
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open - ended question using the diagram, copy down the notes. what can …
Vertical angles are congruent, that is, they have equal angle measures.
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point n lies on lm such that ln:mn is 4:5. graph n.
The coordinates of point \(N\) are approximately \((9.56,11.44)\). To graph \(N\), locate the point on the coordinate - plane with these \(x\) and \(y\) values.
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1. practice. is there enough information to determine if the triangles …
The triangles \(\triangle ATC\) and \(\triangle FHE\) are congruent by the ASA (Angle - Side - Angle) congruence criterion.
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which of the following options is a pair of alternate interior angles? …
$\angle3$ and $\angle12$
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identify the transversal for the angle pair below and classify the angl…
transversal: c; alternate interior angles