PSLE In the figure, EFGH is a parallelogram. CHE and DHG are straight lines and CD = DE. ∠CDH = 29° and ∠FGH = 59°.
- Find ∠GHE.
- Find ∠HDE.
(a)
∠GHE
= 180° - 59°
= 121° (Interior angles)
(b)
∠CHD
= ∠GHE
= 121° (Vertically opposite angles)
∠DCH
= 180° - 121° - 29°
= 30° (Angles sum of triangle)
∠DEH = ∠DCH (Isosceles triangle)
∠CDE
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠HDE
= 120° - 29°
= 91°
Answer(s): (a) 121°; (b) 91°