What reason explains why the m∠q = 115?

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,

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)