Question

In AVWX, mZV =
Find mZW.
(6x – 4),
m_W = (x + 12)°, and mZX = (3x + 2)°

Answer 1

Answer: XVW=36

Explanation:

The external angle of triangle is equal to the sum of the 2 opposite interior angles.

WXY is an external angle to the triangle and

XVW and VWX are the 2 opposite interior angles, thus

6x - 19 = +17+ 3x+2, that is

6x- 19 =4x +19 (Subtract 4x from both sides)

2x - 19 =19 (add 19 to both sides by 2)

x = 19

Hence

XVW = x + 17 = 19 + 17 = 36