The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 41° - 66°
= 73° (Angles sum of triangle)
∠m = ∠PSQ = 73° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 61° (Alternate angles)
(c)
∠QSP = ∠m = 73° (Vertically opposite angles)
∠j
= 73° - 61°
= 12° (Exterior angle of a triangle)
Answer(s): (a) 73°; (b) 61°; (c) 12°