Question

complete any statement below with one of the answers given at the bottom of the page. then write the letter of the answer above its correct answer. keep working and you will discover the answer
a the figure formed by two rays with the same endpoint is an
i the basic unit by which angles are measured is the
n the intersection of the two sides of an angle is called the angles
o the small box at the vertex of ∠aob indicates that ∠aob measures ______.
u an angle with a measure of 90° is called a ______ angle.
s point c is in the ______ of ∠bod.
n an angle whose measure is between 90° and 180° is an ______ angle
g two angles whose measures have a sum of 90° are ______ angles
t ∠boc and ∠boa are ______ angles.
n two angles whose measures have a sum of 180° are ______ angles.
d an angle whose measure is between 0° and 90° is an ______ angle
f ∠aoe and ______ are supplementary angles.
i ∠cod and ______ are complementary angles.
n two angles having the same measure are said to be ______
f ∠cod and ∠aoe are congruent because they are ______ angles
r the two rays that form an angle are called the ______ of the angle

Explanation:

For the first statement (A):

Step1: Recall angle definition

An angle is formed by two rays with the same endpoint (vertex). So the answer is "angle".

For the second statement (I):

Step1: Recall angle measurement unit

The basic unit for measuring angles is the "degree".

For the third statement (N):

Step1: Recall angle part name

The intersection of the two sides of an angle is the "vertex".

For the fourth statement (O):

Step1: Recall right angle symbol

The small box at the vertex of $\angle AOB$ indicates a right angle, which measures $90^\circ$.

For the fifth statement (U):

Step1: Recall right angle definition

An angle with measure $90^\circ$ is a "right" angle.

For the sixth statement (S):

Step1: Recall angle interior/exterior

Point C is in the "interior" of $\angle BOD$ (assuming the diagram shows it inside the angle).

For the seventh statement (N):

Step1: Recall obtuse angle definition

An angle between $90^\circ$ and $180^\circ$ is "obtuse".

For the eighth statement (G):

Step1: Recall complementary angles definition

Two angles with a sum of $90^\circ$ are "complementary".

For the ninth statement (T):

Step1: Recall adjacent angles (or other relation)

$\angle BOC$ and $\angle BOA$: If they share a common side and vertex, they could be "adjacent" (or check diagram for other, like "complementary" if $\angle BOA$ is $90^\circ$ and $\angle BOC$ is part of it, but likely "adjacent" or "complementary"—assuming $\angle BOA$ is right, maybe "complementary" if $\angle BOC + \angle COA = 90^\circ$, but need diagram. Alternatively, if $\angle BOA$ is right, $\angle BOC$ and $\angle BOA$: maybe "adjacent" or "complementary". Wait, the small box at O for $\angle AOB$ means $\angle AOB = 90^\circ$. So $\angle BOC$ is inside or outside? If C is on the ray, maybe $\angle BOC$ and $\angle BOA$: if $\angle BOA$ is $90^\circ$ and $\angle BOC$ is acute, they are "complementary" if sum to $90^\circ$, or "adjacent". Maybe "complementary" or "adjacent". Let's assume "complementary" if $\angle BOC + \angle COA = 90^\circ$, but maybe "adjacent" as they share side OB and vertex O.

For the tenth statement (N):

Step1: Recall supplementary angles definition

Two angles with a sum of $180^\circ$ are "supplementary".

For the eleventh statement (D):

Step1: Recall acute angle definition

An angle between $0^\circ$ and $90^\circ$ is "acute".

For the twelfth statement (F):

Step1: Recall supplementary angles (sum $180^\circ$)

$\angle AOE$: Find an angle that adds to it to $180^\circ$. If $\angle AOE$ and $\angle BOC$? Wait, need diagram. Alternatively, if $\angle AOE$ and $\angle BOC$? Or $\angle AOE$ and $\angle BOD$? Wait, $\angle AOE$ and $\angle BOC$: maybe $\angle AOE$ and $\angle BOC$ are vertical angles? No, supplementary. Wait, $\angle AOE + \angle BOC = 180^\circ$? Or $\angle AOE$ and $\angle BOD$? Maybe $\angle AOE$ and $\angle BOC$ (assuming diagram). Alternatively, $\angle AOE$ and $\angle BOC$: need to see.

For the thirteenth statement (I):

Step1: Recall complementary angles (sum $90^\circ$)

$\angle COD$: Find an angle that adds to it to $90^\circ$. If $\angle COD$ and $\angle BOC$ (since $\angle BOD$ is straight? No, $\angle AOB$ is $90^\circ$, so $\angle COD$ and $\angle BOC$: if $\angle BOD$ is $90^\circ$? Wait, diagram has O with a right angle at AOB, so $\angle AOB = 90^\circ$, and COD: maybe $\angle COD$ and $\angle BOC$ are complementary (sum $90^\circ$).

For the fourteenth statement (N):

Step1: Recall congruent angles definition

Two angles with the same measure are "congrue…

Answer:

s (partial, based on definitions):
A: angle
I: degree
N: vertex
O: $90^\circ$
U: right
S: interior
N: obtuse
G: complementary
T: adjacent (or complementary, depends on diagram)
N: supplementary
D: acute
F: $\angle BOC$ (example, depends on diagram)
I: $\angle BOC$ (example, depends on diagram)
N: congruent
F: vertical
R: sides

(Note: Some answers depend on the diagram's exact angles, but the above uses standard angle definitions.)