Question

1. find x.

(there is a triangle labeled with vertices x, w, y. side xw is length 8, side wy is length 8, angle at x is 62 degrees, and angle at y is (4x - 7) degrees.)

Explanation:

Step1: Identify triangle type

Triangle WXY has WX=WY=8, so it's isosceles with base XY.

Step2: Relate angles

Base angles ∠X and ∠Y are equal. ∠Y = 4x - 2°, ∠X = 62°.

Step3: Solve for x

Set 4x - 2 = 62. Add 2: 4x = 64. Divide by 4: x=16.

Answer:

16