Question

What is the measure of angle C

77

180

110

48

Answer 1

Given <A = 48
<B = 1/2(110) = 55

<C = 180 - (48 + 55)
<C = 180 - 103
<C = 77

Answer
77

Answer 2

∠B is an inscribed angle, and will be half the measurement of the opposite arc.
∠B = 110/2
∠B = 55

A triangle's angle measurements = 180°

Subtract ∠A and ∠B from 180 to get ∠C

180 - 55 - 48 = 77

77°, or A, is your answer

hope this helps