The figure is not drawn to scale. GHKL is a parallelogram. ∠LGO is 58° and ∠KHJ is 24°. GHJ is an isosceles triangle and GH = HJ.
- Find ∠OJH.
- Find ∠GLK.
(a)
∠HOG = 58° (Alternate angles, GL//HK)
∠HOJ
= 180° - 58°
= 122° (Angles on a straight line)
∠OJH
= 180° - 122° - 24°
= 34° (Angles sum of triangle)
(b)
∠HGO = 34° (Isosceles triangle GHJ)
∠GLK
= 180° - 58° - 34°
= 88° (Interior angles, GH//LK)
Answer(s): (a) 34°; (b) 88°