Question

i The picture below shows a parallelogram-shaped bookshelf Aaron bought for his wall. He rotates the shelf 90° clockwise and then 180° counterclockwise to decide how to arrange it on the wall.

Answer 1

Rotating the shelf 90 degrees clockwise, and 180 degrees counterclockwise is equivalent to just rotating it

180 - 90 degrees clockwise, then

Since the opposite angles in a parallelogram are equal, we equate

15x-5 and 11x+15

15x - 5 = 11x +15

15x - 11x = 15 +5

4x = 20

x = 20/4 = 5

Angle Q = Angle S = 15(5) -5 = 75 - 5 =70 Degrees.

Thus statement A is the correct statement