Question

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

Explanation:

Step1: Find arc TU measure

The central angle $\angle TSU = 123^\circ$, so arc $TU = 123^\circ$.

Step2: Find arc TVU measure

Total circle is $360^\circ$, so arc $TVU = 360^\circ - 123^\circ = 237^\circ$.

Step3: Calculate inscribed angle $\angle TVU$

Inscribed angle is half its intercepted arc:
$\angle TVU = \frac{1}{2} \times \text{arc } TU = \frac{1}{2} \times 123^\circ$

Answer:

$61.5$