The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 45° - 64°
= 71° (Angles sum of triangle)
∠m = ∠PSQ = 71° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 53° (Alternate angles)
(c)
∠QSP = ∠m = 71° (Vertically opposite angles)
∠j
= 71° - 53°
= 18° (Exterior angle of a triangle)
Answer(s): (a) 71°; (b) 53°; (c) 18°