GKLP and GJMP are parallelograms and HNM is an isosceles triangle. Given that ∠HMJ = 39°, ∠GPN = 64° and ∠KML = 50°, find
- ∠JMK,
- ∠KJM.
(a)
∠HMN
= (180° - 23°) ÷ 2
= 78.5° (Isosceles triangle)
∠JMK
= 180° - 78.5° - 39° - 50°
= 12.5° (Angles on a straight line)
(b)
∠KJM
= 180° - 50° -12.5°
= 117.5° (Interior angles)
Answer(s): (a) 12.5°; (b) 117.5°