In the figure, LMP and RQlN are straight lines. ∠LRQ = 40°, ∠RLQ = 42°, ∠MNP = 36° and ∠MPN = 109°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 42° - 40°
= 98° (Angles sum of triangle)
∠LQM
= 180° - 98°
= 82° (Angles on a straight line)
(b)
∠PMN
= 180° - 109° - 36°
= 35° (Angles sum of triangle)
∠LMQ = ∠PMN = 35° (Vertically opposite angles)
∠QLM
= 180° - 82° - 35°
= 63° (Angles sum of triangle)
Answer(s): (a) 82°; (b) 63°