In the figure, GHJK is a quadrilateral where ∠GHJ = 125° and ∠HJK = 120°. ∠JKL = 73° and HJ = JK. The point L on GK is such that HL is parallel to JK. Calculate
- ∠HKL
- ∠HGL
(a)
∠JKH
= (180° - 120°) ÷ 2
= 30° (Isosceles triangle)
∠HKL
= 73° - 30°
= 43°
(b)
∠HGL
= 360° - 120° - 73° - 125°
= 42° (Sum of angles in a quadrilateral)
Answer(s): (a) 43°; (b) 42°