Question

If W is in the interior of

Answer 1

To solve our session let's first illustrate the situation as follows:

As we can see above, W is in the middle of angle XYZ. And we show all the angles in the picture. Once angle XYW + angle WYZ is equal to angle XYZ we can write the following expression and calculate:

So, finally, x = 8 and

$m\angle WYZ=6x=6\cdot8=48$