The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 32° - 61°
= 87° (Angles sum of triangle)
∠k = ∠NRP = 87° (Vertically opposite angles)
(b)
∠j = ∠NMP = 53° (Alternate angles)
(c)
∠PRN = ∠k = 87° (Vertically opposite angles)
∠i
= 87° - 53°
= 34° (Exterior angle of a triangle)
Answer(s): (a) 87°; (b) 53°; (c) 34°