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 = 86° (Alternate angles)
∠HJG
= 86° - 53°
= 33°
(b)
∠HGJ
= 180° - 89° - 33°
= 58° (Angles sum of triangle)
∠FGK = 58° (Vertically opposite angles)
∠ GFK
= 180° - 86° - 58°
= 36° (Angles sum of triangle)
Answer(s): (a) 33°; (b) 36°