Question

In each figure below find m∠1 and m∠2, if a||b. Show your work with statements.

Answer 1

Solutions given:

m<1=130°[alternate angle are equal]

again

m<1+m<2=180°[linear pair]

m<2=180°-130°

m<2=50°

Answer 2

<1 = 130

<2 = 50

Explanation:

<1 = 130 since it is an alternate interior angle and alternate interior angles are equal when the lines are parallel ( a is parallel to b)

<1 + <2 = 180 since the form a straight line

130+ <2 = 180

<2 = 180-130

<2 = 50