KNPS and KMQS are parallelograms and LRQ is an isosceles triangle. Given that ∠LQM = 37°, ∠KSR = 65° and ∠NQP = 49°, find
- ∠MQN,
- ∠NMQ.
(a)
∠LQR
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠MQN
= 180° - 76.5° - 37° - 49°
= 17.5° (Angles on a straight line)
(b)
∠NMQ
= 180° - 49° -17.5°
= 113.5° (Interior angles)
Answer(s): (a) 17.5°; (b) 113.5°