The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 33° - 74°
= 73° (Angles sum of triangle)
∠k = ∠NRP = 73° (Vertically opposite angles)
(b)
∠j = ∠NMP = 50° (Alternate angles)
(c)
∠PRN = ∠k = 73° (Vertically opposite angles)
∠i
= 73° - 50°
= 23° (Exterior angle of a triangle)
Answer(s): (a) 73°; (b) 50°; (c) 23°