KLMN is a parallelogram. KNP and LQP are straight lines. Find the values of
- ∠j
- ∠n
- ∠m
- ∠k
(a)
∠j
= 180° - 50° - 58°
= 72° (Interior angles)
(b)
∠QKL = ∠QLK = 50° (Isosceles triangle)
∠n
= 180° - 58° - 50° - 50°
= 22° (Interior angles)
(c)
∠m
= 180° - 50° - 50°
= 80° (Isosceles triangle)
(d)
∠k = 58° (Alternate angles)
Answer(s): (a) 72°; (b) 22°; (c) 80°; (d) 58°