In the figure, NGJM and NGHL are parallelograms. Given that ∠JGK = 16°, ∠NML = 67° and NLM is an isosceles triangle where NL = NM. Find
- ∠GKJ
- ∠NGK
(a)
∠GJM
= 180° - 67°
= 113° (Interior angles)
∠GKJ
= 180° - 113° - 16°
= 51° (Angles sum of triangle)
(b)
∠NGK
= ∠GKJ
= 51° (Alternate angles)
Answer(s): (a) 51°; (b) 51°