In the figure, GHJK is a quadrilateral where ∠GHJ = 127° and ∠HJK = 112°. ∠JKL = 82° and HJ = JK. The point L on GK is such that HL is parallel to JK. Calculate
- ∠HKL
- ∠HGL
(a)
∠JKH
= (180° - 112°) ÷ 2
= 34° (Isosceles triangle)
∠HKL
= 82° - 34°
= 48°
(b)
∠HGL
= 360° - 112° - 82° - 127°
= 39° (Sum of angles in a quadrilateral)
Answer(s): (a) 48°; (b) 39°