In the figure, KLMN is a parallelogram and PM = PN.
- Find ∠q.
- Find ∠r.
(a)
∠KPL = ∠KLP (Isosceles triangle)
∠q
= 180° - 48° - 48° - 71°
= 13° (Interior angles)
(b)
∠KPL
= 180° - 48° - 48°
= 84° (Angles sum of triangle)
∠r
= 360° - 84°
= 276° (Angles at a point)
Answer(s): (a) 13°; (b) 276°