In the figure, KLM is parallel to NPQ and NM cuts ∠LNP equally. Given that ∠KLN = 52° and ∠LRM = 117°, find
- ∠r
- ∠s
(a)
∠KLN = ∠LNP (Alternate angles)
∠r
= 52° ÷ 2
= 26°
(b)
∠LNR = ∠r = 26°
∠s
= 117° - 26°
= 91° (Exterior angle of a triangle)
Answer(s): (a) 26°; (b) 91°