In the figure, KLMN is a parallelogram and PM = PN.
- Find ∠q.
- Find ∠r.
(a)
∠KPL = ∠KLP (Isosceles triangle)
∠q
= 180° - 42° - 42° - 70°
= 26° (Interior angles)
(b)
∠KPL
= 180° - 42° - 42°
= 96° (Angles sum of triangle)
∠r
= 360° - 96°
= 264° (Angles at a point)
Answer(s): (a) 26°; (b) 264°