In the figure, CE is parallel to GF and CH is parallel to DJ. CHG is a straight line, ∠CHJ = 104°. ∠HCD = 98° and the sum of ∠DEF and ∠FGH is 157°. Find
- ∠HJD
- ∠GFE
(a)
∠HJD
= 180° - 104°
= 76° (Interior angles)
(b)
∠GFE
= 360° - 157° - 98°
= 105° (Sum of angles in a quadrilateral)
Answer(s): (a) 76°; (b) 105°