question_answer 1)

Let \[\overline{PQ}\] be the perpendicular to the line segment \[\overline{XY}.\] Let \[\overline{PQ}\] and \[\overline{XY}\] intersect in the point A. What is the measure of \[\angle PAY?\]

Answer:

Given, \[\overline{PQ}\] is perpendicular to the line segment \[\overline{XY}\] and \[\overline{PQ}\] and \[\overline{XY}\] intersect in the point A. So, it is clear from the above figure that \[\angle PAY={{90}^{o}}\]