The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 43° - 65°
= 72° (Angles sum of triangle)
∠k = ∠NRP = 72° (Vertically opposite angles)
(b)
∠j = ∠NMP = 51° (Alternate angles)
(c)
∠PRN = ∠k = 72° (Vertically opposite angles)
∠i
= 72° - 51°
= 21° (Exterior angle of a triangle)
Answer(s): (a) 72°; (b) 51°; (c) 21°