In the figure, ∠UWV = 90°. ∠UWX is 40° 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 + 40
1 u + 1 u + 40° = 90° (Right angle)
2 u = 90° - 40° = 50°
1 u = 50° ÷ 2 = 25°
∠UWX
= 25° + 40°
= 65°
Answer(s): (a) VW or WV; (b) 65°