The figure shows a parallelogram. Find
- ∠n
- ∠m
- ∠k
(a)
∠QTR
= 180° - 31° - 67°
= 82° (Angles sum of triangle)
∠n = ∠QTR = 82° (Vertically opposite angles)
(b)
∠m = ∠QPR = 68° (Alternate angles)
(c)
∠RTQ = ∠n = 82° (Vertically opposite angles)
∠k
= 82° - 68°
= 14° (Exterior angle of a triangle)
Answer(s): (a) 82°; (b) 68°; (c) 14°