Let PQ be the perpendicular to the line segment XY. Let PQ and XY intersect in the point A. What is the measure of ∠PAY ?

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90°

100°

0°

20°

answer is A.

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Detailed Solution

Given, PQ be the perpendicular to the line segment XY. Let PQ and XY intersect in the point A.
Use the information to draw a figure.
Question Image

In the figure PQ and XY perpendicular lines forming four right angles.
∠XAQ = ∠QAY = ∠PAY = ∠PAX = 90°
So the angle ∠PAY is 90°.
Hence, option 1 is correct.

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