PSLE In the figure, DEG and JHG are straight lines and HE is parallel to GF. ∠HJD is a right angle, ∠JDE = 49°, ∠DEF = 111° and ∠GHE = 64°.
- Find ∠DEH.
- Find ∠EFG.
(a)
∠DGJ
= 180° - 90° - 49°
= 41° (Angles sum of triangle)
∠GEH
= 180° - 64° - 41°
= 75° (Angles sum of triangle)
∠DEH
= 180° - 75°
= 111° (Angles on a straight line)
(b)
∠GEF
= 360° - 111° - 75° - 111°
= 63° (Angles at a point)
∠EFG
= 180° - 63° - 63°
= 54°
Answer(s): (a) 111°; (b) 54°