The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 32° - 79°
= 69° (Angles sum of triangle)
∠k = ∠NRP = 69° (Vertically opposite angles)
(b)
∠j = ∠NMP = 57° (Alternate angles)
(c)
∠PRN = ∠k = 69° (Vertically opposite angles)
∠i
= 69° - 57°
= 12° (Exterior angle of a triangle)
Answer(s): (a) 69°; (b) 57°; (c) 12°