In the figure, KLN is a triangle with LN = LK, while JKLM is a parallelogram and MLN is a straight line. Given ∠LMJ = 98°, ∠HLN = 154° and ∠JHL = 59°, find
- ∠LKN
- ∠HLK
(a)
∠JML
= ∠KLN
= 98° (Corresponding angles)
∠LKN
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠HLK
= 360° - 154° - 98°
= 108° (Angles at a point)
Answer(s): (a) 41°; (b) 108°