PSLE DEFG is a trapezium with DE parallel to GF. DJE and HJG are straight lines and DH = HE. ∠HDG = 94°.
- Find ∠DGJ.
- Find ∠EHJ.
(a)
∠DGJ
= 180° - 94° - 21°
= 65° (Angles sum of triangle)
(b)
∠DJG
= 71° (Alternate angles)
∠EDH
= 71° - 21°
= 50° (Exterior angle of a triangle)
∠EHJ
= 180° - 50° - 50° - 21°
= 59° (Angles sum of triangle)
Answer(s): (a) 65°; (b) 59°