Answer:
<WZY = 31°
Explanation:
First, we can see that <XZW is equal to <WZY.
Given that, we know we can set the two equations equal to each other to find "x".
8x - 1 = 5x + 11
Now that the two equations are set equal to each other, all we have to do is simplify to find x.
Bring 5x over and subtract it from 8x.
3x - 1 = 11
Bring -1 over and add it to 11.
Since you're subtracting a negative, it becomes positive allowing you to add it to 11.
3x = 12
Now you need to get x by itself. Do do that, you need to divide three by itself, and whatever you do to one side, you must do to the other.
3x/3 = 12/3
Now you have:
x = 4
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Now that you know the value of x, all you need to do is plug x back into the equation for <WZY
5(4) + 11
20 + 11
31.
And there is your answer - <WZY = 31°