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 = 48°, ∠RSQ = 33° and ∠MQN = 115°, find
- ∠a
- ∠c
- ∠b
(a)
∠RQS = ∠MQN = 115° (Vertically opposite angles)
∠a
= 180° - 115° - 33°
= 32° (Angles sum of triangle)
(b)
∠c
= 180° - 32°
= 148° (Interior angles)
(c)
∠b
= 180° - 32° - 32° - 33°
= 99° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 148°; (c) 99°