In the figure, ∠QSR = 90°. ∠QST is 37° 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 + 37
1 u + 1 u + 37° = 90° (Right angle)
2 u = 90° - 37° = 53°
1 u = 53° ÷ 2 = 26.5°
∠QST
= 26.5° + 37°
= 63.5°
Answer(s): (a) RS or SR; (b) 63.5°