Question

What reason explains why the m∠Q = 115?

Answer 1

Answer: D.

Explanation:

Answer 2

Option D. Consecutive angles of the parallelogram are supplementary.

Solution-

As PQRS is a parallelogram, it has two sets of parallel lines, they are

QR || PS and PQ || RS

According to properties of parallel lines, the consecutive interior angles add up to 180°

So,

`\Rightarrow m\angle P+m\angle Q=180^(\circ)`

`\Rightarrow 65^(\circ)+m\angle Q=180^(\circ)`

`\Rightarrow m\angle Q=180^(\circ)-65^(\circ)=115^(\circ)`