Question

HELP ON GEOMETRY!!! PHOTO ATTACHED

Answer 1

Answer:

m∠Q =91°

Step-by-step explanation:

$\because GHIJ \sim RQPS...(Given)\\\therefore \angle H \cong \angle Q...(By\:cast)\\\because \angle H = 91\degree\\\huge\red{\boxed{\therefore \angle Q =91\degree}}$

Answer 2

Answer: 91 degrees.

Step-by-step explanation:

The quadrilaterals shown in the image are similar.

This means:

- The shape of the two quadrilaterals are identical.

- The corresponding angle measures of the two quadrilaterals are identical.

- The size of each side is proportionally identical to the corresponding sides of the other quadrilateral.

As the corresponding angle measures are identical, you can see that both m∠s and m∠j are 55 degrees. All other corresponding angles are identical, too, so:

m∠j = m∠s

m∠g = m∠r

m∠h = m∠q

m∠i = m∠p

We are trying to find m∠q, which is equal to m∠h. m∠h is shown to be 91 degrees in the quadrilateral on the left, so this is the correct answer.