Respuesta :

First, we find arc RSP

[tex]\begin{gathered} 108=\frac{1}{2}\cdot RSP \\ \text{RSP}=2\cdot108=216 \end{gathered}[/tex]

Arc RSP measures 216°.

Then,

[tex]\begin{gathered} 216+RQP=360 \\ \text{RQP}=360-216=144 \end{gathered}[/tex]

Now, we find angle S

[tex]m\angle S=\frac{1}{2}\cdot144=72[/tex]

Hence, angle S measures 72°.

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