In the figure, LMP and RQlN are straight lines. ∠LRQ = 44°, ∠RLQ = 43°, ∠MNP = 37° and ∠MPN = 103°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 43° - 44°
= 93° (Angles sum of triangle)
∠LQM
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠PMN
= 180° - 103° - 37°
= 40° (Angles sum of triangle)
∠LMQ = ∠PMN = 40° (Vertically opposite angles)
∠QLM
= 180° - 87° - 40°
= 53° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 53°
