PLEASE HELP (ASAP)
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.

PLEASE HELP ASAP In the figure shown line AB is parallel to line CDPart A What is the measure of angle x Show your work 5 pointsPart B Explain how you found the class=

Respuesta :

Angle x of the triangle PQR is 53 degrees.

Angle x is gotten by alternate angle relationship.

How to find an angle in a triangle?

Line AB is parallel to line CD

Therefore,

AB║CD

Hence,

62 + x = 115(alternate angles)

62 - 62 + x = 115 - 62

x = 53°

We got the angle x degrees from alternate angle relationship.

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Answer:

x = 50

Step-by-step explanation:

Angle <BPR and angle <PRD are supplementary angles so their sum is equal to 180

m<BPR + 115 = 180 subtract 115 from both sides

m<BPR = 65

angles:

<APQ, x, and <BPR form a straight line and so their sum is equal to 180

65 + x + 65 = 180 add like terms

130 + x = 180 subtract 130 from both sides

x = 50