The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 31° - 65°
= 84° (Angles sum of triangle)
∠m = ∠PSQ = 84° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 69° (Alternate angles)
(c)
∠QSP = ∠m = 84° (Vertically opposite angles)
∠j
= 84° - 69°
= 15° (Exterior angle of a triangle)
Answer(s): (a) 84°; (b) 69°; (c) 15°