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 = 43°, ∠RSQ = 36° and ∠MQN = 115°, find
- ∠i
- ∠k
- ∠j
(a)
∠RQS = ∠MQN = 115° (Vertically opposite angles)
∠i
= 180° - 115° - 36°
= 29° (Angles sum of triangle)
(b)
∠k
= 180° - 29°
= 151° (Interior angles)
(c)
∠j
= 180° - 29° - 29° - 36°
= 101° (Angles sum of triangle)
Answer(s): (a) 29°; (b) 151°; (c) 101°