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 = 34° and ∠MQN = 112°, find
- ∠t
- ∠w
- ∠v
(a)
∠RQS = ∠MQN = 112° (Vertically opposite angles)
∠t
= 180° - 112° - 34°
= 34° (Angles sum of triangle)
(b)
∠w
= 180° - 34°
= 146° (Interior angles)
(c)
∠v
= 180° - 34° - 34° - 34°
= 96° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 146°; (c) 96°