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 = 50°, ∠RSQ = 33° and ∠MQN = 120°, find
- ∠b
- ∠d
- ∠c
(a)
∠RQS = ∠MQN = 120° (Vertically opposite angles)
∠b
= 180° - 120° - 33°
= 27° (Angles sum of triangle)
(b)
∠d
= 180° - 27°
= 153° (Interior angles)
(c)
∠c
= 180° - 27° - 27° - 33°
= 97° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 97°