The figure shows a parallelogram. Find
- ∠k
- ∠j
- ∠i
(a)
∠NRP
= 180° - 37° - 80°
= 63° (Angles sum of triangle)
∠k = ∠NRP = 63° (Vertically opposite angles)
(b)
∠j = ∠NMP = 52° (Alternate angles)
(c)
∠PRN = ∠k = 63° (Vertically opposite angles)
∠i
= 63° - 52°
= 11° (Exterior angle of a triangle)
Answer(s): (a) 63°; (b) 52°; (c) 11°