In the figure, ∠SUT = 90°. ∠SUV is 35° more than ∠TUV.
- What line is perpendicular to SU?
- Find ∠SUV.
(a)
Line TU or UT is perpendicular to SU.
(b)
∠TUV = 1 u
∠SUV = 1 u + 35
1 u + 1 u + 35° = 90° (Right angle)
2 u = 90° - 35° = 55°
1 u = 55° ÷ 2 = 27.5°
∠SUV
= 27.5° + 35°
= 62.5°
Answer(s): (a) TU or UT; (b) 62.5°