In the figure, LMNP is a parallelogram and QN = QP.
- Find ∠r.
- Find ∠s.
(a)
∠LQM = ∠LMQ (Isosceles triangle)
∠r
= 180° - 41° - 41° - 69°
= 29° (Interior angles)
(b)
∠LQM
= 180° - 41° - 41°
= 98° (Angles sum of triangle)
∠s
= 360° - 98°
= 262° (Angles at a point)
Answer(s): (a) 29°; (b) 262°