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 = 40° and ∠MQN = 118°, find
- ∠h
- ∠j
- ∠i
(a)
∠RQS = ∠MQN = 118° (Vertically opposite angles)
∠h
= 180° - 118° - 40°
= 22° (Angles sum of triangle)
(b)
∠j
= 180° - 22°
= 158° (Interior angles)
(c)
∠i
= 180° - 22° - 22° - 40°
= 93° (Angles sum of triangle)
Answer(s): (a) 22°; (b) 158°; (c) 93°