In the figure, ∠WYX = 90°. ∠WYZ is 40° more than ∠XYZ.
- What line is perpendicular to WY?
- Find ∠WYZ.
(a)
Line XY or YX is perpendicular to WY.
(b)
∠XYZ = 1 u
∠WYZ = 1 u + 40
1 u + 1 u + 40° = 90° (Right angle)
2 u = 90° - 40° = 50°
1 u = 50° ÷ 2 = 25°
∠WYZ
= 25° + 40°
= 65°
Answer(s): (a) XY or YX; (b) 65°