In the figure, UV is a straight line. ∠TWU = 90°, ∠XWY is equal to ∠YWV but 27° more than ∠TWX.
- What line is perpendicular to UV?
- Find ∠XWY.
(a)
Line TW or WT is perpendicular to UV
(b)
∠XWY = ∠YWV = 1 u
∠TWX = 1 u - 27°
1 u + 1 u + 1 u - 27° = 90° (Right angle)
3 u = 90° + 27° = 117°
1 u = 117° ÷ 3 = 39°
Answer(s): (a) TW or WT; (b) 39°