In the figure, KLMN is a parallelogram and PM = PN.
- Find ∠q.
- Find ∠r.
(a)
∠KPL = ∠KLP (Isosceles triangle)
∠q
= 180° - 40° - 40° - 71°
= 29° (Interior angles)
(b)
∠KPL
= 180° - 40° - 40°
= 100° (Angles sum of triangle)
∠r
= 360° - 100°
= 260° (Angles at a point)
Answer(s): (a) 29°; (b) 260°