GHJK is a quadrilateral and OGKJ is a trapezium in which OG // KJ and ∠HGK = 108°, ∠GKJ = 128°, ∠HJK = 62° and KJ = KG. Find
- ∠GHO
- ∠KGO
- ∠GJK.
(a)
∠GHO
= 360° - 128° -108° - 62°
= 62° (Sum of angles in a quadrilateral)
(b)
∠KGO
= 180° - 128°
= 52° (Interior angles, GO//KC)
(c)
∠GJK
= (180° - 128°) ÷ 2
= 52 ÷ 2
= 26° (Isosceles triangle)
Answer(s): (a) 62°; (b) 52°; (c) 26°