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In Figure, if AB CD, APQ = 50° and PRD = 127°, find x and y.
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10/07/2021 12:04 pm
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In Figure, if AB CD, APQ = 50° and PRD = 127°, find x and y.
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10/07/2021 12:05 pm
From the diagram,
APQ = PQR (Alternate interior angles)
Now, putting the value of APQ = 50° and PQR = x we get,
x = 50°
APR = PRD (Alternate interior angles)
Or, APR = 127° (As it is given that PRD = 127°)
We know that
APR = APQ + QPR
Putting values of QPR = y and APR = 127° we get,
127° = 50°+ y
y = 77°
Thus, the values of x and y are calculated as:
x = 50° and y = 77°
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