In the figure, LMP and RQlN are straight lines. ∠LRQ = 41°, ∠RLQ = 50°, ∠MNP = 30° and ∠MPN = 115°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 50° - 41°
= 89° (Angles sum of triangle)
∠LQM
= 180° - 89°
= 91° (Angles on a straight line)
(b)
∠PMN
= 180° - 115° - 30°
= 35° (Angles sum of triangle)
∠LMQ = ∠PMN = 35° (Vertically opposite angles)
∠QLM
= 180° - 91° - 35°
= 54° (Angles sum of triangle)
Answer(s): (a) 91°; (b) 54°