2. Let PQ be the perpendicular to the line segment XY Let PQ and XY intersect
in the point A. What is the measure of ZPAY?
3. There are two set-s
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PQ perpendicular to XY it means PQ and XY intersect and form four angle of 90°.
you can see in the figure :
∠PAY + ∠PAX + ∠QAX + ∠QAY = 360°.
due to PQ _|_ XY at A so,
∠PAY = ∠QAY = ∠QAX = ∠QAY
so,
4 × ∠PAY = 360°
∠PAY = 360/4 = 90°
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