In the figure shown, line ab is parallel to line cd.

part a: what is the measure of angle x? show your work. (5 points)

part b: explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points)

we know that

By alternate interior angles

m∠PRD=m∠APR -------> equation

m∠PRD=°

so

m∠APR=°

m∠APR=m∠APQ+m∠QPR ---------> equation

m∠APQ=°

m∠QPR=°

Substitute the values in the equation

°

therefore

the answer is

The measure of angle x is equal to

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70