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In Figure, if AB CD, APQ = 50° and PRD = 127°, find x and y.

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In Figure, if AB CD, APQ = 50° and PRD = 127°, find x and y.

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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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