The figure shows a parallelogram. Find
- ∠n
- ∠m
- ∠k
(a)
∠QTR
= 180° - 37° - 69°
= 74° (Angles sum of triangle)
∠n = ∠QTR = 74° (Vertically opposite angles)
(b)
∠m = ∠QPR = 52° (Alternate angles)
(c)
∠RTQ = ∠n = 74° (Vertically opposite angles)
∠k
= 74° - 52°
= 22° (Exterior angle of a triangle)
Answer(s): (a) 74°; (b) 52°; (c) 22°