The figure is not drawn to scale. GHKL is a parallelogram. ∠LGO is 55° and ∠KHJ is 32°. GHJ is an isosceles triangle and GH = HJ.
- Find ∠OJH.
- Find ∠GLK.
(a)
∠HOG = 55° (Alternate angles, GL//HK)
∠HOJ
= 180° - 55°
= 125° (Angles on a straight line)
∠OJH
= 180° - 125° - 32°
= 23° (Angles sum of triangle)
(b)
∠HGO = 23° (Isosceles triangle GHJ)
∠GLK
= 180° - 55° - 23°
= 102° (Interior angles, GH//LK)
Answer(s): (a) 23°; (b) 102°