Question

What is mZS? Q 108° P R S m2S = O

Answer 1

First, we find arc RSP

$\begin{gathered} 108=\frac{1}{2}\cdot RSP \\ \text{RSP}=2\cdot108=216 \end{gathered}$

Arc RSP measures 216°.

Then,

$\begin{gathered} 216+RQP=360 \\ \text{RQP}=360-216=144 \end{gathered}$

Now, we find angle S

$m\angle S=\frac{1}{2}\cdot144=72$

Hence, angle S measures 72°.