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the value of x =54°by alt.int.angles and x+y=126 so the value of y=72°
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Angle PRD = 126
so, angle BPR = 180 - 126 = 54 (Co-interior angles)
- <APQ + y + <BPR = 180 (Linear Pair)
- 54 + y + 54 = 180
- 108 + y = 180
- y = 180 - 108
- y = 72
Now to find x,
<PRQ = 180-126 = 54 (Linear Pair)
So,
- y + x + <PRQ = 180 (Angle Sum Property)
- 72 + x + 54 = 180
- 126 + x = 180
- x = 180 - 126
- x = 54
So my FINAL ANSWER will be,
- X = 54 degrees
- Y = 72 degrees
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