In the figure, LMP is a triangle with MP = ML, while KLMN is a parallelogram and NMP is a straight line. Given ∠MNK = 98°, ∠JMP = 146° and ∠KJM = 53°, find
- ∠MLP
- ∠JML
(a)
∠KNM
= ∠LMP
= 98° (Corresponding angles)
∠MLP
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠JML
= 360° - 146° - 98°
= 116° (Angles at a point)
Answer(s): (a) 41°; (b) 116°