Let $ \overline{\mathrm{PQ}} $ be the perpendicular to the line segment $ \overline{\mathrm{XY}} $. Let $ \overline{\mathrm{PQ}} $ and $ \overline{\mathrm{XY}} $ intersect in the point $ \mathrm{A} $. What is the measure of $ \angle \mathrm{PAY} $ ?
Given:
\( \overline{\mathrm{PQ}} \) is perpendicular to the line segment \( \overline{\mathrm{XY}} \).
\( \overline{\mathrm{PQ}} \) and \( \overline{\mathrm{XY}} \) intersect in the point \( \mathrm{A} \).
To do:
We have to find the measure of \( \angle \mathrm{PAY} \).
Solution:
From the figure,
The measure of \( \angle \mathrm{PAY} \) is $90^o$.
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