In the figure, LMP and RQlN are straight lines. ∠LRQ = 47°, ∠RLQ = 50°, ∠MNP = 25° and ∠MPN = 115°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 50° - 47°
= 83° (Angles sum of triangle)
∠LQM
= 180° - 83°
= 97° (Angles on a straight line)
(b)
∠PMN
= 180° - 115° - 25°
= 40° (Angles sum of triangle)
∠LMQ = ∠PMN = 40° (Vertically opposite angles)
∠QLM
= 180° - 97° - 40°
= 43° (Angles sum of triangle)
Answer(s): (a) 97°; (b) 43°
