Question

Given that QRSTU=QXWVU, find

Answer 1

Angle UQR = Angle UQX since they are corresponding angles. Note how the top polygon reflects over the line QU to get the bottom polygon.

So because of this, and because angle UQX = 45, this means the answer is 45 degrees

Answer 2

Answer:

$m\angle UQR=45^{\circ}$

Step-by-step explanation:

We have been given that pentagon QRSTU is equal to pentagon QXWUV. We are asked to find the measure of angle UQR.

Upon looking at our given image, we can see that both pentagons share a common side that is QU.

We can also see that both pentagons are symmetric about line QU.

Since measure of angle UQX is 45 degree, therefore, the measure of angle UQR will be 45 degrees as well.