Question

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

Answer 1

Given:

$\text{m}\hat{\text{QR}}=84^{\circ}$

b) To find:

$\angle QSR$

We know that,

$\hat{QR}=\angle QSR=84^{\circ}$

Thus, the answer is,

$\angle QSR=84^{\circ}$

a) To find:

$\angle QPR$

We know that,

$\begin{gathered} \angle QPR=\frac{1}{2}\angle QSR \\ \angle QPR=\frac{1}{2}(84^{\circ}) \\ \angle QPR=42^{\circ} \end{gathered}$

Thus, the answer is,

$\angle QPR=42^{\circ}$