Question

What is mZS? Q 108° P R S m2S = O

Answer 1

First, we find arc RSP

`\begin{gathered} 108=(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=(1)/(2)\cdot144=72`

Hence, angle S measures 72°.