In the figure, ST is a straight line. ∠RUS = 90°, ∠VUW is equal to ∠WUT but 27° more than ∠RUV.
- What line is perpendicular to ST?
- Find ∠VUW.
(a)
Line RU or UR is perpendicular to ST
(b)
∠VUW = ∠WUT = 1 u
∠RUV = 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) RU or UR; (b) 39°