In the figure, ∠HKJ = 90°. ∠HKL is 40° more than ∠JKL.
- What line is perpendicular to HK?
- Find ∠HKL.
(a)
Line JK or KJ is perpendicular to HK.
(b)
∠JKL = 1 u
∠HKL = 1 u + 40
1 u + 1 u + 40° = 90° (Right angle)
2 u = 90° - 40° = 50°
1 u = 50° ÷ 2 = 25°
∠HKL
= 25° + 40°
= 65°
Answer(s): (a) JK or KJ; (b) 65°