In the figure, JKL is parallel to MNP and ML cuts ∠KMN equally. Given that ∠JKM = 40° and ∠KQL = 107°, find
- ∠n
- ∠p
(a)
∠JKM = ∠KMN (Alternate angles)
∠n
= 40° ÷ 2
= 20°
(b)
∠KMQ = ∠n = 20°
∠p
= 107° - 20°
= 87° (Exterior angle of a triangle)
Answer(s): (a) 20°; (b) 87°