Question

3.

Quadrilateral PQRS is a parallelogram. If m5 = 64, then m1 + m2 + m3 + m4 = ______


A.64

B.128

C.192
D. Impossible to tell

Answer 1

The correct answer is C

Answer 2

(B). 128°

Explanation:

m∠5 = m∠2 + m∠4 = 64°

Because ∠2 ≅ ∠3 and ∠4 ≅ ∠1 , then m∠1 + m∠2 + m∠3 + m∠4 = 2 × 64 = 128°