Line segments PQ and XY are perpendicular to each
other and intersect at point A. What is measure of ∠PAY?

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Let $¯ ¯¯¯¯¯¯ ¯ P Q$ be the perpendicular to the line segment $¯ ¯¯¯¯¯¯¯ ¯ X Y . L e t ¯ ¯¯¯¯¯¯ ¯ P Q a n d ¯ ¯¯¯¯¯¯¯ ¯ X Y$ intersect in the point A. What is the measure of $∠ P A Y$ ?

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

Q. AB is a line segment AX and BY are two equal line segments drawn opposite sides of line AB such that AX ||BY.
If line segments AB and XY intersect each other at point P. Prove that
(a)

Δ A P X ≅ Δ B P Y

(b) line segments AB and XY bisect each other at P.

¯ ¯¯¯¯¯¯ ¯ P Q

is perpendicular to the line segment

¯ ¯¯¯¯¯¯¯ ¯ X Y

¯ ¯¯¯¯¯¯ ¯ P Q

and

¯ ¯¯¯¯¯¯¯ ¯ X Y

intersect at A. What is the measure of

∠

PAX and

∠

XAY.

AB is a line segment which is inclined to line XY, such that they intersect at point O. A line PQ is drawn which intersects line XY at point P at the same angle of inclination as AB. Line PQ is __ to line segment AB.

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Line segments PQ and XY are perpendicular to each ​ other and intersect at point A. What is measure of ∠PAY? ​

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Line segments PQ and XY are perpendicular to each
other and intersect at point A. What is measure of ∠PAY?