In the figure, ∠QSR = 90°. ∠QST is 31° 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 + 31
1 u + 1 u + 31° = 90° (Right angle)
2 u = 90° - 31° = 59°
1 u = 59° ÷ 2 = 29.5°
∠QST
= 29.5° + 31°
= 60.5°
Answer(s): (a) RS or SR; (b) 60.5°