In the figure, LMNP is a parallelogram and QN = QP.
- Find ∠r.
- Find ∠s.
(a)
∠LQM = ∠LMQ (Isosceles triangle)
∠r
= 180° - 43° - 43° - 72°
= 22° (Interior angles)
(b)
∠LQM
= 180° - 43° - 43°
= 94° (Angles sum of triangle)
∠s
= 360° - 94°
= 266° (Angles at a point)
Answer(s): (a) 22°; (b) 266°