Question

multiple choice (2 pts. each)
**#1.) which of the following statements are true based on the figure below when ( l parallel m )?
i: ( angle 1 ) and ( angle 5 ) are corresponding angles
ii: ( angle 8 ) and ( angle 1 ) are alternate exterior angles
iii: ( angle 6 ) and ( angle 2 ) are same side exterior angles
a.) i only
b.) i and ii
c.) ii and iii only
d.) iii only
**#2.) determine the sum of ( x ) and ( y ) below.
a.) 12
b.) 19
c.) 35
d.) 42
#3.) in the figure below, the ( m angle 3 = 27^{circ} ) and the ( m angle 5 = 152^{circ} ). which of the following is not true?
i: ( m angle 2 = 27^{circ} )
ii: ( m angle 6 = 28^{circ} )
iii: ( a parallel b )
iv: ( a
parallel b )
a.) ii only
b.) iii only
c.) i and ii
d.) ii and iv

Explanation:

Step1: Analyze statement I

Corresponding angles are in the same relative position. $\angle1$ and $\angle5$ are in the same relative position, so statement I is true.

Step2: Analyze statement II

Alternate exterior angles are non - adjacent exterior angles on opposite sides of the transversal. $\angle8$ and $\angle1$ are non - adjacent exterior angles on opposite sides of the transversal, so statement II is true.

Step3: Analyze statement III

Same - side exterior angles are exterior angles on the same side of the transversal. $\angle6$ is an interior angle, so $\angle6$ and $\angle2$ are not same - side exterior angles, statement III is false.

Answer:

B. I and II