Question

The question is in the picture:

Answer 1

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.