Question

Question 7
In the given figure, if point A is shifted to point B along the ray PX such that PB=2PA, then the measure of $\angle BPY$ is
a) greater than ${45}^{\circ }$
b) ${45}^{\circ }$
c) less than ${45}^{\circ }$
d) ${90}^{\circ }$

Answer 1

An angle is a measure of an arc between two rays at a common point called vertex.

In the above figure, the measure of $\angle BPY$ is ${45}^{\circ }$.

The measure of the $\angle BPY$ doesn't change with the change in the length of the adjacent sides.

$\therefore$ $\angle BPY$ = $\angle APY$ = ${45}^{\circ }$