In the figure, KLMN is a parallelogram and PM = PN.
- Find ∠q.
- Find ∠r.
(a)
∠KPL = ∠KLP (Isosceles triangle)
∠q
= 180° - 47° - 47° - 69°
= 17° (Interior angles)
(b)
∠KPL
= 180° - 47° - 47°
= 86° (Angles sum of triangle)
∠r
= 360° - 86°
= 274° (Angles at a point)
Answer(s): (a) 17°; (b) 274°