In the figure, GHJK is a quadrilateral where ∠GHJ = 135° and ∠HJK = 118°. ∠JKL = 74° and HJ = JK. The point L on GK is such that HL is parallel to JK. Calculate
- ∠HKL
- ∠HGL
(a)
∠JKH
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
∠HKL
= 74° - 31°
= 43°
(b)
∠HGL
= 360° - 118° - 74° - 135°
= 33° (Sum of angles in a quadrilateral)
Answer(s): (a) 43°; (b) 33°