Please help me I need to know how to do it, not just the answer. brainliest answer and 13 points

x = 20, angle XYW = 65 deg.

Step-by-step explanation:

XYW and WYZ are congruent angles, meaning they have the same measures. since both angles are the same, that means WYZ x 2 = XYZ. so, you need to make an equation to represent this, in order to find x.

  8x - 30 = (3x + 5)(2)

then, you just solve the equation

  - use the distributive property

  8x - 30 = 6x + 10

     - subtract 6x from both sides

     2x - 30 = 10

        - add 30 to both sides

        2x = 40

           - divide both sides by 2

          x = 20

then, in order to find the measure of angle XYW, you need to plug x into the equation for angle WYZ, since both angles are congruent.

  3(20) + 5

     60 + 5

       65