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=(1)/(2)\angle QSR \\ \angle QPR=(1)/(2)(84^(\circ)) \\ \angle QPR=42^(\circ) \end{gathered}`

Thus, the answer is,

`\angle QPR=42^(\circ)`