The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 34° - 71°
= 75° (Angles sum of triangle)
∠m = ∠PSQ = 75° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 53° (Alternate angles)
(c)
∠QSP = ∠m = 75° (Vertically opposite angles)
∠j
= 75° - 53°
= 22° (Exterior angle of a triangle)
Answer(s): (a) 75°; (b) 53°; (c) 22°