PSLE DEFG is a trapezium with DE parallel to GF. DJE and HJG are straight lines and DH = HE. ∠HDG = 91°.
- Find ∠DGJ.
- Find ∠EHJ.
(a)
∠DGJ
= 180° - 91° - 30°
= 59° (Angles sum of triangle)
(b)
∠DJG
= 68° (Alternate angles)
∠EDH
= 68° - 30°
= 38° (Exterior angle of a triangle)
∠EHJ
= 180° - 38° - 38° - 30°
= 74° (Angles sum of triangle)
Answer(s): (a) 59°; (b) 74°