Find the measure of b in the picture please

Answer:
The correct answer option is B. 126°.
Step-by-step explanation:
We are given a figure where triangle within a triangle is inscribed in a circle and we are to find the measure of angle b.
From the given figure, we can see that the angle b is at the center of the circle. So this must be an isosceles with two sides equal to each other.
If that is the case, then angle a must be equal to 27° so we can find the measure of angle b.
∠b = 180° - (27° + 27°)
∠b = 126°