In the figure, GHJK is a parallelogram. JM, MN and GH are straight lines. GKL is an isosceles triangle.
- Find ∠x.
- Find ∠y.
(a)
∠JMG = ∠HGN = 66° (Corresponding angles, GH//MJ)
∠MLG
= 180° - ∠JMG - ∠MGL
= 180° - 66° - 21°
= 93° (Angles sum of triangle)
∠KLG
= 180° - 93°
= 87° (Angles on a straight line)
∠LKG = ∠KLG = 87° (Isosceles triangle)
∠x
= ∠LKG
= 87° (Corresponding angles, HJ//GK)
(b)
∠y
= 180° - 87° - 87°
= 6° (Isosceles triangle GKL)
Answer(s): (a) 87°; (b) 6°
