GKLP and GJMP are parallelograms and HNM is an isosceles triangle. Given that ∠HMJ = 38°, ∠GPN = 63° and ∠KML = 46°, find
- ∠JMK,
- ∠KJM.
(a)
∠HMN
= (180° - 23°) ÷ 2
= 78.5° (Isosceles triangle)
∠JMK
= 180° - 78.5° - 38° - 46°
= 17.5° (Angles on a straight line)
(b)
∠KJM
= 180° - 46° -17.5°
= 116.5° (Interior angles)
Answer(s): (a) 17.5°; (b) 116.5°