In the figure, LMP and RQlN are straight lines. ∠LRQ = 48°, ∠RLQ = 42°, ∠MNP = 30° and ∠MPN = 109°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 42° - 48°
= 90° (Angles sum of triangle)
∠LQM
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠PMN
= 180° - 109° - 30°
= 41° (Angles sum of triangle)
∠LMQ = ∠PMN = 41° (Vertically opposite angles)
∠QLM
= 180° - 90° - 41°
= 49° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 49°
