In the figure, JKL is parallel to MNP and ML cuts ∠KMN equally. Given that ∠JKM = 44° and ∠KQL = 101°, find
- ∠r
- ∠s
(a)
∠JKM = ∠KMN (Alternate angles)
∠r
= 44° ÷ 2
= 22°
(b)
∠KMQ = ∠r = 22°
∠s
= 101° - 22°
= 79° (Exterior angle of a triangle)
Answer(s): (a) 22°; (b) 79°