Question

$\overline{PQ}$ is perpendicular to the line segment $\overline{XY}$. $\overline{PQ}$ and $\overline{XY}$ intersect at A. What is the measure of $\angle$PAX and $\angle$XAY.

• A.
  180${}^{\circ }$ and 360${}^{\circ }$
• B.
  90${}^{\circ }$ and 90${}^{\circ }$
• C.
  90${}^{\circ }$ and 180${}^{\circ }$
• D.
  180${}^{\circ }$ and 180${}^{\circ }$

Answer 1

The correct option is C

90${}^{\circ }$ and 180${}^{\circ }$
Consider the following figure.

From the figure,
$\angle$PAX = 90${}^{\circ }$ [Since PQ is perpendicular to XY]
$\angle$XAY = 180${}^{\circ }$ [Since XAY is a straight line and a straight angle is equal to 180${}^{\circ }$]