The figure shows a parallelogram. Find
- ∠m
- ∠k
- ∠j
(a)
∠PSQ
= 180° - 45° - 66°
= 69° (Angles sum of triangle)
∠m = ∠PSQ = 69° (Vertically opposite angles)
(b)
∠k = ∠PNQ = 55° (Alternate angles)
(c)
∠QSP = ∠m = 69° (Vertically opposite angles)
∠j
= 69° - 55°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 69°; (b) 55°; (c) 14°