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The circle below has center S. Suppose that m QR = 84°. Find the following.

The Circle Below Has Center S Suppose That M QR 84 Find The Following class=

Sagot :

Given:

[tex]\text{m}\hat{\text{QR}}=84^{\circ}[/tex]

b) To find:

[tex]\angle QSR[/tex]

We know that,

[tex]\hat{QR}=\angle QSR=84^{\circ}[/tex]

Thus, the answer is,

[tex]\angle QSR=84^{\circ}[/tex]

a) To find:

[tex]\angle QPR[/tex]

We know that,

[tex]\begin{gathered} \angle QPR=\frac{1}{2}\angle QSR \\ \angle QPR=\frac{1}{2}(84^{\circ}) \\ \angle QPR=42^{\circ} \end{gathered}[/tex]

Thus, the answer is,

[tex]\angle QPR=42^{\circ}[/tex]