The figure shows a parallelogram. Find
- ∠h
- ∠g
- ∠f
(a)
∠JNK
= 180° - 32° - 76°
= 72° (Angles sum of triangle)
∠h = ∠JNK = 72° (Vertically opposite angles)
(b)
∠g = ∠JIK = 53° (Alternate angles)
(c)
∠KNJ = ∠h = 72° (Vertically opposite angles)
∠f
= 72° - 53°
= 19° (Exterior angle of a triangle)
Answer(s): (a) 72°; (b) 53°; (c) 19°