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 = 47°, ∠RSQ = 41° and ∠MQN = 118°, find
- ∠a
- ∠c
- ∠b
(a)
∠RQS = ∠MQN = 118° (Vertically opposite angles)
∠a
= 180° - 118° - 41°
= 21° (Angles sum of triangle)
(b)
∠c
= 180° - 21°
= 159° (Interior angles)
(c)
∠b
= 180° - 21° - 21° - 41°
= 92° (Angles sum of triangle)
Answer(s): (a) 21°; (b) 159°; (c) 92°