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 = 35° and ∠MQN = 119°, find
- ∠t
- ∠w
- ∠v
(a)
∠RQS = ∠MQN = 119° (Vertically opposite angles)
∠t
= 180° - 119° - 35°
= 26° (Angles sum of triangle)
(b)
∠w
= 180° - 26°
= 154° (Interior angles)
(c)
∠v
= 180° - 26° - 26° - 35°
= 97° (Angles sum of triangle)
Answer(s): (a) 26°; (b) 154°; (c) 97°