Answer:
b) The measure of angle B is 117°.
Explanation:
Angles A and C are vertical angles, so are congruent. Angles C and 27° total 90°, so ...
∠C = 90° -27° = 63° . . . . . not 53°
The measure of angle B is the supplement of angle A or C, so is ...
∠B = 180° -∠C = 180° -63°
∠B = 117°
Only choice B is correct.