Question

the angle bisector of $angle pqr$ is $overrightarrow{qe}$. if $mangle pqe = 2n^{circ}$, what is $mangle pqr$?
a. $n^{circ}$
b. $2n^{circ}$
c. $4n^{circ}$
d. $8n^{circ}$

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts. So if $\overrightarrow{QE}$ is the angle - bisector of $\angle PQR$, then $\angle PQR = 2\angle PQE$.

Step2: Substitute the given value

Given that $m\angle PQE = 2n^{\circ}$, then $m\angle PQR=2\times(2n^{\circ})$.
$m\angle PQR = 4n^{\circ}$

Answer:

C. $4n^{\circ}$