Question

What is the measure of Q

Answer 1

The answer is option B. 148°.
<S = <T because The Angles opposite to equal sides are equal .
.
<Q = <S + <T
<Q = 74 + 74
<Q = 148°
.
Hence the answer B

Answer 2

m<Q = m<S + m<T

Since the triangle is isosceles, angles S and T are congruent.

m<Q = m<S + m<S

m<Q = 2m<S

m<Q = 2 * 74

m<Q = 148