Question

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50 POINTS + BRAINLIEST!!!!!
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Picture is in the file below.
In the figure shown, line AB is parallel to line CD. What is the measure of angle x? Explain your answer.

(10 points)

Answer 1

answer: 55

Step-by-step explanation:

angle apg is eqal to angle pgr (being alternate angles)

x + pgr is equal to 120 (exterior angle of a triangle is equal to opposite interior angle)

Answer 2

Solution:

Let "E" denote the top right angle. (Refer to image). Then ∠E and ∠R are a linear pair.

⇒ ∠E + ∠R = 180

⇒ ∠E + 120 = 180

⇒ ∠E = 180 - 120

⇒ ∠E = 60°

Line AB forms a straight line which is a measure of 180°.

⇒ 65 + ∠E + x = 180

⇒ 65 + 60 + x = 180

⇒ 125 + x = 180

⇒ 125 - 125 + x = 180 - 125

⇒ ∠x = 55°