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 = 43°, ∠RSQ = 40° and ∠MQN = 113°, find
- ∠v
- ∠x
- ∠w
(a)
∠RQS = ∠MQN = 113° (Vertically opposite angles)
∠v
= 180° - 113° - 40°
= 27° (Angles sum of triangle)
(b)
∠x
= 180° - 27°
= 153° (Interior angles)
(c)
∠w
= 180° - 27° - 27° - 40°
= 97° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 153°; (c) 97°