In the figure, LMP and RQlN are straight lines. ∠LRQ = 50°, ∠RLQ = 47°, ∠MNP = 35° and ∠MPN = 106°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 47° - 50°
= 83° (Angles sum of triangle)
∠LQM
= 180° - 83°
= 97° (Angles on a straight line)
(b)
∠PMN
= 180° - 106° - 35°
= 39° (Angles sum of triangle)
∠LMQ = ∠PMN = 39° (Vertically opposite angles)
∠QLM
= 180° - 97° - 39°
= 44° (Angles sum of triangle)
Answer(s): (a) 97°; (b) 44°
