what is m∠tuv? write your answer as an integer or decimal. m∠tuv =

Explanation:

Step1: Recall central - inscribed angle relationship

The measure of an inscribed angle is half the measure of its intercepted arc's central angle.

Step2: Find the central angle corresponding to arc TV

The central angle corresponding to arc TV is (360^{\circ}-(147^{\circ}+73^{\circ})=360^{\circ}-220^{\circ} = 140^{\circ}).

Step3: Calculate the measure of ∠TUV

Since ∠TUV is an inscribed angle intercepting arc TV, (m\angle TUV=\frac{1}{2}\times) (central - angle of arc TV). So (m\angle TUV=\frac{1}{2}\times140^{\circ}=70^{\circ}).

Answer:

70