Question

The lines intersect at point P. What is the measure of WPV?

Answer 1

Okay, so we have two opposite interior angles here. Look at it closely. Assuming that \[<ST ~AND <RU \] are perpendicular to one another.

Answer 2

We're only being asked to find WPV, are in essence, the degree of P.

Look how the opposite angles are equal. The 90 degree angle at SPR can be seen at UPR, too.

TPU (7x + 26) can be seen at RPW.

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To make you understand, since the lines are perpendicular, each side will add up to 180 degrees. The first side we have:

9x + 90 + (7x + 27) = 180.

If you solve that, you can find x. Plug in x to 9x, then do the same for it's alternate-interior angle.

Answer 3

So solve for x first, right?

Answer 4

Correct. But do you understand what I am doing?

Answer 5

...Not really.

Answer 6

You see, the whole half will equal 180 degrees.