Question

Find the missing arc measure.

Answer 1

P = 129

AS = 52

QR =?

Apply secant angle theorem.

`\begin{gathered} P\text{ = }\frac{AS\text{ + QR}}{2} \\ 129\text{ = }\frac{52\text{ + QR}}{2} \\ \text{Cross multiply} \\ 52\text{ + QR = 129 X 2} \\ 52\text{ + QR = 258} \\ QR\text{ = 258 - 52} \\ QR\text{ = 206} \end{gathered}`

The missing arc = 206