GKLP and GJMP are parallelograms and HNM is an isosceles triangle. Given that ∠HMJ = 42°, ∠GPN = 61° and ∠KML = 51°, find
- ∠JMK,
- ∠KJM.
(a)
∠HMN
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠JMK
= 180° - 76.5° - 42° - 51°
= 10.5° (Angles on a straight line)
(b)
∠KJM
= 180° - 51° -10.5°
= 118.5° (Interior angles)
Answer(s): (a) 10.5°; (b) 118.5°