Question

in the diagram, $overrightarrow{rt}$ bisects $angle srq$, and $mangle qrt = 54^{circ}$. find $mangle srq$.
o a 36°
o b 54°
o c 108°
o d 72°

Explanation:

Step1: Recall angle - bisector property

An angle - bisector divides an angle into two equal angles. So, if $\overrightarrow{RT}$ bisects $\angle SRQ$, then $\angle SRQ = 2\angle QRT$.

Step2: Substitute the given angle value

Given $\angle QRT = 54^{\circ}$, then $\angle SRQ=2\times54^{\circ}$.
$2\times54^{\circ}=108^{\circ}$

Answer:

C. $108^{\circ}$