The figure shows a parallelogram. Find
- ∠p
- ∠n
- ∠m
(a)
∠RVS
= 180° - 33° - 75°
= 72° (Angles sum of triangle)
∠p = ∠RVS = 72° (Vertically opposite angles)
(b)
∠n = ∠RQS = 57° (Alternate angles)
(c)
∠SVR = ∠p = 72° (Vertically opposite angles)
∠m
= 72° - 57°
= 15° (Exterior angle of a triangle)
Answer(s): (a) 72°; (b) 57°; (c) 15°