The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 34° - 64°
= 82° (Angles sum of triangle)
∠k = ∠NRP = 82° (Vertically opposite angles)
(b)
∠j = ∠NMP = 68° (Alternate angles)
(c)
∠PRN = ∠k = 82° (Vertically opposite angles)
∠i
= 82° - 68°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 82°; (b) 68°; (c) 14°