In the figure, LMP and RQlN are straight lines. ∠LRQ = 49°, ∠RLQ = 49°, ∠MNP = 25° and ∠MPN = 119°. Find
- ∠LQM
- ∠QLM
(a)
∠LQR
= 180° - 49° - 49°
= 82° (Angles sum of triangle)
∠LQM
= 180° - 82°
= 98° (Angles on a straight line)
(b)
∠PMN
= 180° - 119° - 25°
= 36° (Angles sum of triangle)
∠LMQ = ∠PMN = 36° (Vertically opposite angles)
∠QLM
= 180° - 98° - 36°
= 46° (Angles sum of triangle)
Answer(s): (a) 98°; (b) 46°