PSLE In the figure, CDEF is a rectangle. The points H, J, and K lie on the rectangle CDEF. FGH and KGJ are straight lines.
- Find ∠HJG.
- Find ∠GFK.
(a)
∠DJK = ∠FKJ = 82° (Alternate angles)
∠HJG
= 82° - 52°
= 30°
(b)
∠HGJ
= 180° - 93° - 30°
= 57° (Angles sum of triangle)
∠FGK = 57° (Vertically opposite angles)
∠ GFK
= 180° - 82° - 57°
= 41° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 41°