The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 40° - 74°
= 66° (Angles sum of triangle)
∠k = ∠NRP = 66° (Vertically opposite angles)
(b)
∠j = ∠NMP = 52° (Alternate angles)
(c)
∠PRN = ∠k = 66° (Vertically opposite angles)
∠i
= 66° - 52°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 66°; (b) 52°; (c) 14°