KNPS and KMQS are parallelograms and LRQ is an isosceles triangle. Given that ∠LQM = 36°, ∠KSR = 62° and ∠NQP = 47°, find
- ∠MQN,
- ∠NMQ.
(a)
∠LQR
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠MQN
= 180° - 77.5° - 36° - 47°
= 19.5° (Angles on a straight line)
(b)
∠NMQ
= 180° - 47° -19.5°
= 113.5° (Interior angles)
Answer(s): (a) 19.5°; (b) 113.5°