LanoraX147425 LanoraX147425
  • 03-11-2022
  • Mathematics
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What is mZS? Q 108° P R S m2S = O

What is mZS Q 108 P R S m2S O class=

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OpieQ395610 OpieQ395610
  • 03-11-2022

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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