In the figure, LMN is parallel to RST and the line RN cuts ∠MRT into half. Given that NR and MS are straight lines, ∠LMR = 41°, ∠RSQ = 35° and ∠MQN = 110°, find
- ∠e
- ∠g
- ∠f
(a)
∠RQS = ∠MQN = 110° (Vertically opposite angles)
∠e
= 180° - 110° - 35°
= 35° (Angles sum of triangle)
(b)
∠g
= 180° - 35°
= 145° (Interior angles)
(c)
∠f
= 180° - 35° - 35° - 35°
= 104° (Angles sum of triangle)
Answer(s): (a) 35°; (b) 145°; (c) 104°