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 $90^o$.

Updated on: 10-Oct-2022

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