In the figure, GHJK is a parallelogram. JM, MN and GH are straight lines. GKL is an isosceles triangle.
- Find ∠d.
- Find ∠e.
(a)
∠JMG = ∠HGN = 64° (Corresponding angles, GH//MJ)
∠MLG
= 180° - ∠JMG - ∠MGL
= 180° - 64° - 18°
= 98° (Angles sum of triangle)
∠KLG
= 180° - 98°
= 82° (Angles on a straight line)
∠LKG = ∠KLG = 82° (Isosceles triangle)
∠d
= ∠LKG
= 82° (Corresponding angles, HJ//GK)
(b)
∠e
= 180° - 82° - 82°
= 16° (Isosceles triangle GKL)
Answer(s): (a) 82°; (b) 16°
