Question

The polygon ABCD is congruent to PQRS. The measure of angle B is equal to 65°, choose True or False for each statement A The supplement of angle Q measures 115º. B. Angle Q measures 115º. C. The supplement of angle B measures 115º.

Answer 1

Given that polygon ABCD is congruent to PQRS, then angle B is congruent to angle Q.

Let's call angle B' to the suplement of angle B. Then,

∠B + ∠B' = 180°

65° + ∠B' = 180°

∠B' = 180° - 65°

∠B' = 115°

If ∠B ≅ ∠Q, then ∠B' ≅ ∠Q' (where ∠Q' is the suplement of angle Q). So,

∠Q = 65°

∠Q' = 115°

A. True

B. False

C. True