GKLP and GJMP are parallelograms and HNM is an isosceles triangle. Given that ∠HMJ = 36°, ∠GPN = 63° and ∠KML = 51°, find
- ∠JMK,
- ∠KJM.
(a)
∠HMN
= (180° - 22°) ÷ 2
= 79° (Isosceles triangle)
∠JMK
= 180° - 79° - 36° - 51°
= 14° (Angles on a straight line)
(b)
∠KJM
= 180° - 51° -14°
= 115° (Interior angles)
Answer(s): (a) 14°; (b) 115°