In the figure, LMP is a triangle with MP = ML, while KLMN is a parallelogram and NMP is a straight line. Given ∠MNK = 94°, ∠JMP = 141° and ∠KJM = 58°, find
- ∠MLP
- ∠JML
(a)
∠KNM
= ∠LMP
= 94° (Corresponding angles)
∠MLP
= (180° - 94°) ÷ 2
= 43° (Isosceles triangle)
(b)
∠JML
= 360° - 141° - 94°
= 125° (Angles at a point)
Answer(s): (a) 43°; (b) 125°