The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 32° - 74°
= 74° (Angles sum of triangle)
∠m = ∠PSQ = 74° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 59° (Alternate angles)
(c)
∠QSP = ∠m = 74° (Vertically opposite angles)
∠j
= 74° - 59°
= 15° (Exterior angle of a triangle)
Answer(s): (a) 74°; (b) 59°; (c) 15°