Answer:
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
