Geometry finding each measure

Question

If wxz =5x+3 zxy =8x-4 and wxy is a right angle, find each measure... X, WXZ, ZXY

Answer 1

Assuming WXYZ is a quadrilateral, then by the Angle Addition Postulate we have:

WXZ + ZXY = WXY

1. WXZ = 5x + 3
2. ZXY = 8x -4
3. WXY = right angle = 90^o

Substituting:

5x+3 + 8x-4 = 90

Solve for x then solve for WXZ and ZXY. Check your answer by making sure WXZ and ZXY add up to 90^o.