The figure shows a parallelogram. Find
- ∠n
- ∠m
- ∠k
(a)
∠QTR
= 180° - 42° - 61°
= 77° (Angles sum of triangle)
∠n = ∠QTR = 77° (Vertically opposite angles)
(b)
∠m = ∠QPR = 57° (Alternate angles)
(c)
∠RTQ = ∠n = 77° (Vertically opposite angles)
∠k
= 77° - 57°
= 20° (Exterior angle of a triangle)
Answer(s): (a) 77°; (b) 57°; (c) 20°