In the figure, LMP and RQlN are straight lines. ∠LRQ = 40°, ∠RLQ = 43°, ∠MNP = 35° and ∠MPN = 117°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 43° - 40°
= 97° (Angles sum of triangle)
∠LQM
= 180° - 97°
= 83° (Angles on a straight line)
(b)
∠PMN
= 180° - 117° - 35°
= 28° (Angles sum of triangle)
∠LMQ = ∠PMN = 28° (Vertically opposite angles)
∠QLM
= 180° - 83° - 28°
= 69° (Angles sum of triangle)
Answer(s): (a) 83°; (b) 69°
