In the figure, ∠UWV = 90°. ∠UWX is 35° more than ∠VWX.
- What line is perpendicular to UW?
- Find ∠UWX.
(a)
Line VW or WV is perpendicular to UW.
(b)
∠VWX = 1 u
∠UWX = 1 u + 35
1 u + 1 u + 35° = 90° (Right angle)
2 u = 90° - 35° = 55°
1 u = 55° ÷ 2 = 27.5°
∠UWX
= 27.5° + 35°
= 62.5°
Answer(s): (a) VW or WV; (b) 62.5°