The figure shows a parallelogram. Find
- ∠n
- ∠m
- ∠k
(a)
∠QTR
= 180° - 42° - 63°
= 75° (Angles sum of triangle)
∠n = ∠QTR = 75° (Vertically opposite angles)
(b)
∠m = ∠QPR = 56° (Alternate angles)
(c)
∠RTQ = ∠n = 75° (Vertically opposite angles)
∠k
= 75° - 56°
= 19° (Exterior angle of a triangle)
Answer(s): (a) 75°; (b) 56°; (c) 19°