In the figure, ∠HKJ = 90°. ∠HKL is 38° 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 + 38
1 u + 1 u + 38° = 90° (Right angle)
2 u = 90° - 38° = 52°
1 u = 52° ÷ 2 = 26°
∠HKL
= 26° + 38°
= 64°
Answer(s): (a) JK or KJ; (b) 64°