GHJK is a quadrilateral and OGKJ is a trapezium in which OG // KJ and ∠HGK = 112°, ∠GKJ = 126°, ∠HJK = 66° and KJ = KG. Find
- ∠GHO
- ∠KGO
- ∠GJK.
(a)
∠GHO
= 360° - 126° -112° - 66°
= 56° (Sum of angles in a quadrilateral)
(b)
∠KGO
= 180° - 126°
= 54° (Interior angles, GO//KC)
(c)
∠GJK
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle)
Answer(s): (a) 56°; (b) 54°; (c) 27°