In the figure, LMN is parallel to PQR and PN cuts ∠MPQ equally. Given that ∠LMP = 50° and ∠MSN = 100°, find
- ∠c
- ∠d
(a)
∠LMP = ∠MPQ (Alternate angles)
∠c
= 50° ÷ 2
= 25°
(b)
∠MPS = ∠c = 25°
∠d
= 100° - 25°
= 75° (Exterior angle of a triangle)
Answer(s): (a) 25°; (b) 75°