In the figure, VW is a straight line. ∠UXV = 90°, ∠YXZ is equal to ∠ZXW but 30° more than ∠UXY.
- What line is perpendicular to VW?
- Find ∠YXZ.
(a)
Line UX or XU is perpendicular to VW
(b)
∠YXZ = ∠ZXW = 1 u
∠UXY = 1 u - 30°
1 u + 1 u + 1 u - 30° = 90° (Right angle)
3 u = 90° + 30° = 120°
1 u = 120° ÷ 3 = 40°
Answer(s): (a) UX or XU; (b) 40°