BRAINLIEST + 30 POINTS! Please help ASAP!

(Please explain your work if you can, i'm confused by this module so it'd really help!)


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)

BRAINLIEST 30 POINTS Please help ASAPPlease explain your work if you can im confused by this module so itd really helpIn the figure shown line AB is parallel to class=

Respuesta :

Answer:

we know that

By alternate interior angles

m∠PRD=m∠APR -------> equation

m∠PRD=120°

so

m∠APR=120°

m∠APR=m∠APQ+m∠QPR ---------> equation

m∠APQ=62°

m∠QPR=x°

Substitute the values in the equation 120=62+x

x=120-62

x=53

therefore

the answer is

The measure of angle x is equal to 53 degrees

Because the lines are parallel the lower outside angle given as 155 is equal to the opposite angle, which is made up of X and 62.

To find X subtract 62 from 115:

X = 115 - 62

X = 53

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