In the figure, NGJM and NGHL are parallelograms. Given that ∠JGK = 10°, ∠NML = 79° and NLM is an isosceles triangle where NL = NM. Find
- ∠GKJ
- ∠NGK
(a)
∠GJM
= 180° - 79°
= 101° (Interior angles)
∠GKJ
= 180° - 101° - 10°
= 69° (Angles sum of triangle)
(b)
∠NGK
= ∠GKJ
= 69° (Alternate angles)
Answer(s): (a) 69°; (b) 69°