In δwxy, m∠w = (7x+8) , m∠x = (2x−15), and m∠y = (2x+0) . find m∠y.

  m∠Y = 34°

Step-by-step explanation:

We know what the sum of the angles is, so we can use that to write an equation that we can solve for x. Knowing x, we can find the measure of angle Y.

The sum of angle measures is 180°, so we have ...

  m∠W + m∠X + m∠Y = 180°

  (7x+8) +(2x -15) +(2x +0) = 180

  11x -7 = 180 . . . . . collect terms

  11x = 187 . . . . . . . add 7

  x = 17 . . . . . . . . . . divide by 11

The measure of ∠Y is ...

  m∠Y = 2x+0 = 2·17 = 34 . . . . . degrees