In the figure, GHJ is parallel to KLM and KJ cuts ∠HKL equally. Given that ∠GHK = 42° and ∠HNJ = 105°, find
- ∠m
- ∠n
(a)
∠GHK = ∠HKL (Alternate angles)
∠m
= 42° ÷ 2
= 21°
(b)
∠HKN = ∠m = 21°
∠n
= 105° - 21°
= 84° (Exterior angle of a triangle)
Answer(s): (a) 21°; (b) 84°