In the figure, ∠RTS = 90°. ∠RTU is 35° more than ∠STU.
- What line is perpendicular to RT?
- Find ∠RTU.
(a)
Line ST or TS is perpendicular to RT.
(b)
∠STU = 1 u
∠RTU = 1 u + 35
1 u + 1 u + 35° = 90° (Right angle)
2 u = 90° - 35° = 55°
1 u = 55° ÷ 2 = 27.5°
∠RTU
= 27.5° + 35°
= 62.5°
Answer(s): (a) ST or TS; (b) 62.5°