The figure is not drawn to scale. EFHJ is a parallelogram. ∠JEO is 57° and ∠HFG is 25°. EFG is an isosceles triangle and EF = FG.
- Find ∠OGF.
- Find ∠EJH.
(a)
∠FOE = 57° (Alternate angles, EJ//FH)
∠FOG
= 180° - 57°
= 123° (Angles on a straight line)
∠OGF
= 180° - 123° - 25°
= 32° (Angles sum of triangle)
(b)
∠FEO = 32° (Isosceles triangle EFG)
∠EJH
= 180° - 57° - 32°
= 91° (Interior angles, EF//JH)
Answer(s): (a) 32°; (b) 91°