Respuesta :

Answer-

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,

[tex]\Rightarrow m\angle P+m\angle Q=180^{\circ}[/tex]

[tex]\Rightarrow 65^{\circ}+m\angle Q=180^{\circ}[/tex]

[tex]\Rightarrow m\angle Q=180^{\circ}-65^{\circ}=115^{\circ}[/tex]

Answer: D.

Step-by-step explanation:

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