Question

A) 90°

Answer 1

If we want to find ∠XYZ, we have to find the measurement of ∠VUW.
If we want to find ∠VUW, we have to solve for x.

We know that ∠VUW and ∠VUT add up to 90°, so we can do the following...

(6x - 1) + (3x - 8) = 90

Combine like terms...

9x - 9 = 90

Solve for x.

9x = 99

x = 11

Now we have to plug in 11 for x in the equation 3x - 8 to solve for ∠VUW.

3(11) - 8 = ∠VUW = ∠XYZ = 25°

Answer 2

So, if <VUW is the same as <XYZ, (they are both complementary to <TUV)

We know that:

<TUV and <VUW are complementary. They equal 90 degrees. 

So, set the equations for both angels to 90 degrees. 

6x-1+3x-8= 90

Combine like terms. 

9x-9=90

Add 9 to the other side. 

9x=99

Divide both sides by 9.

x=11

Now, plug in x. 

(3x-8)

3(11)-8

33-8

25

25 is the measure of both <VUW and <XYZ.

I hope this helps!
~kaikers