The figure shows a parallelogram. Find
- ∠g
- ∠f
- ∠e
(a)
∠IMJ
= 180° - 40° - 65°
= 75° (Angles sum of triangle)
∠g = ∠IMJ = 75° (Vertically opposite angles)
(b)
∠f = ∠IHJ = 54° (Alternate angles)
(c)
∠JMI = ∠g = 75° (Vertically opposite angles)
∠e
= 75° - 54°
= 21° (Exterior angle of a triangle)
Answer(s): (a) 75°; (b) 54°; (c) 21°