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 = 46°, ∠RSQ = 38° and ∠MQN = 113°, find
- ∠c
- ∠e
- ∠d
(a)
∠RQS = ∠MQN = 113° (Vertically opposite angles)
∠c
= 180° - 113° - 38°
= 29° (Angles sum of triangle)
(b)
∠e
= 180° - 29°
= 151° (Interior angles)
(c)
∠d
= 180° - 29° - 29° - 38°
= 96° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 151°; (c) 96°