PSLE DEFG is a trapezium with DE parallel to GF. DJE and HJG are straight lines and DH = HE. ∠HDG = 96°.
- Find ∠DGJ.
- Find ∠EHJ.
(a)
∠DGJ
= 180° - 96° - 30°
= 54° (Angles sum of triangle)
(b)
∠DJG
= 66° (Alternate angles)
∠EDH
= 66° - 30°
= 36° (Exterior angle of a triangle)
∠EHJ
= 180° - 36° - 36° - 30°
= 78° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 78°