In the figure, CDE and EFG are isosceles triangles where CE = DE and EF = EG. Given that FH, GK and CM are straight lines, find
- ∠JNM
- ∠GHN
(a)
∠CDE = ∠DCE = ∠EFG = ∠EGF (Isosceles triangle)
∠EGF = ∠HGN = 40° (Verticallly opposite angles)
∠KGN
= 40° - 11°
= 29°
∠GJN
= 180° - 97°
= 83° (Angles on a straight line)
∠JNM
= 83° + 29°
= 112° (Exterior angle of a triangle)
(b)
∠GHN
= 112° - 40°
= 72° (Exterior angle of a triangle)
Answer(s): (a) 112°; (b) 72°