In the figure, TU is a straight line. ∠SVT = 90°, ∠WVX is equal to ∠XVU but 27° more than ∠SVW.
- What line is perpendicular to TU?
- Find ∠WVX.
(a)
Line SV or VS is perpendicular to TU
(b)
∠WVX = ∠XVU = 1 u
∠SVW = 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) SV or VS; (b) 39°