Question

what is ( mangle srt )?
write your answer as an integer or decimal.
( mangle srt = square^circ )

Explanation:

Step1: Find arc ST measure

The total circle is $360^\circ$. Subtract known central angles:
$$m\overset{\frown}{ST} = 360^\circ - 116^\circ - 147^\circ = 97^\circ$$

Step2: Find $\angle SRT$ measure

$\angle SRT$ is an inscribed angle over $\overset{\frown}{ST}$, so it is half the arc measure:
$$m\angle SRT = \frac{1}{2} \times 97^\circ$$

Answer:

$48.5$