In the figure, ∠QSR = 90°. ∠QST is 40° more than ∠RST.
- What line is perpendicular to QS?
- Find ∠QST.
(a)
Line RS or SR is perpendicular to QS.
(b)
∠RST = 1 u
∠QST = 1 u + 40
1 u + 1 u + 40° = 90° (Right angle)
2 u = 90° - 40° = 50°
1 u = 50° ÷ 2 = 25°
∠QST
= 25° + 40°
= 65°
Answer(s): (a) RS or SR; (b) 65°