PSLE DEFG is a trapezium with DE parallel to GF. DJE and HJG are straight lines and DH = HE. ∠HDG = 93°.
- Find ∠DGJ.
- Find ∠EHJ.
(a)
∠DGJ
= 180° - 93° - 30°
= 57° (Angles sum of triangle)
(b)
∠DJG
= 69° (Alternate angles)
∠EDH
= 69° - 30°
= 39° (Exterior angle of a triangle)
∠EHJ
= 180° - 39° - 39° - 30°
= 72° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 72°