In the figure, GHJK is a parallelogram. JM, MN and GH are straight lines. GKL is an isosceles triangle.
- Find ∠p.
- Find ∠q.
(a)
∠JMG = ∠HGN = 62° (Corresponding angles, GH//MJ)
∠MLG
= 180° - ∠JMG - ∠MGL
= 180° - 62° - 18°
= 100° (Angles sum of triangle)
∠KLG
= 180° - 100°
= 80° (Angles on a straight line)
∠LKG = ∠KLG = 80° (Isosceles triangle)
∠p
= ∠LKG
= 80° (Corresponding angles, HJ//GK)
(b)
∠q
= 180° - 80° - 80°
= 20° (Isosceles triangle GKL)
Answer(s): (a) 80°; (b) 20°