In the figure, FGHJ is a parallelogram. HL, LM and FG are straight lines. FJK is an isosceles triangle.
- Find ∠i.
- Find ∠j.
(a)
∠HLF = ∠GFM = 58° (Corresponding angles, FG//LH)
∠LKF
= 180° - ∠HLF - ∠LFK
= 180° - 58° - 20°
= 102° (Angles sum of triangle)
∠JKF
= 180° - 102°
= 78° (Angles on a straight line)
∠KJF = ∠JKF = 78° (Isosceles triangle)
∠i
= ∠KJF
= 78° (Corresponding angles, GH//FJ)
(b)
∠j
= 180° - 78° - 78°
= 24° (Isosceles triangle FJK)
Answer(s): (a) 78°; (b) 24°
