Question

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

Explanation:

Step1: Recall angle - bisector property

An angle bisector divides an angle into two equal parts. So, $m\angle PQR = 2\times m\angle PQE$.

Step2: Substitute the given value

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

Step3: Calculate the result

$2\times(2n^{\circ}) = 4n^{\circ}$.

Answer:

C. $4n^{\circ}$