In the figure, LMP and RQlN are straight lines. ∠LRQ = 41°, ∠RLQ = 46°, ∠MNP = 36° and ∠MPN = 116°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 46° - 41°
= 93° (Angles sum of triangle)
∠LQM
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠PMN
= 180° - 116° - 36°
= 28° (Angles sum of triangle)
∠LMQ = ∠PMN = 28° (Vertically opposite angles)
∠QLM
= 180° - 87° - 28°
= 65° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 65°
