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 = 45°, ∠RSQ = 39° and ∠MQN = 115°, find
- ∠b
- ∠d
- ∠c
(a)
∠RQS = ∠MQN = 115° (Vertically opposite angles)
∠b
= 180° - 115° - 39°
= 26° (Angles sum of triangle)
(b)
∠d
= 180° - 26°
= 154° (Interior angles)
(c)
∠c
= 180° - 26° - 26° - 39°
= 96° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 154°; (c) 96°