In the figure, LMNP is a parallelogram and QN = QP.
- Find ∠r.
- Find ∠s.
(a)
∠LQM = ∠LMQ (Isosceles triangle)
∠r
= 180° - 47° - 47° - 72°
= 14° (Interior angles)
(b)
∠LQM
= 180° - 47° - 47°
= 86° (Angles sum of triangle)
∠s
= 360° - 86°
= 274° (Angles at a point)
Answer(s): (a) 14°; (b) 274°