In the figure, LMP is a triangle with MP = ML, while KLMN is a parallelogram and NMP is a straight line. Given ∠MNK = 92°, ∠JMP = 140° and ∠KJM = 52°, find
- ∠MLP
- ∠JML
(a)
∠KNM
= ∠LMP
= 92° (Corresponding angles)
∠MLP
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠JML
= 360° - 140° - 92°
= 128° (Angles at a point)
Answer(s): (a) 44°; (b) 128°