In the figure, KLMN is a parallelogram and PM = PN.
- Find ∠q.
- Find ∠r.
(a)
∠KPL = ∠KLP (Isosceles triangle)
∠q
= 180° - 45° - 45° - 68°
= 22° (Interior angles)
(b)
∠KPL
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠r
= 360° - 90°
= 270° (Angles at a point)
Answer(s): (a) 22°; (b) 270°