The figure is not drawn to scale. LMPQ is a parallelogram. ∠QLO is 60° and ∠PMN is 25°. LMN is an isosceles triangle and LM = MN.
- Find ∠ONM.
- Find ∠LQP.
(a)
∠MOL = 60° (Alternate angles, LQ//MP)
∠MON
= 180° - 60°
= 120° (Angles on a straight line)
∠ONM
= 180° - 120° - 25°
= 35° (Angles sum of triangle)
(b)
∠MLO = 35° (Isosceles triangle LMN)
∠LQP
= 180° - 60° - 35°
= 85° (Interior angles, LM//QP)
Answer(s): (a) 35°; (b) 85°