In the figure, JKL is parallel to MNP and ML cuts ∠KMN equally. Given that ∠JKM = 52° and ∠KQL = 117°, find
- ∠x
- ∠y
(a)
∠JKM = ∠KMN (Alternate angles)
∠x
= 52° ÷ 2
= 26°
(b)
∠KMQ = ∠x = 26°
∠y
= 117° - 26°
= 91° (Exterior angle of a triangle)
Answer(s): (a) 26°; (b) 91°