In the figure, DEFG is a parallelogram and HF = HG.
- Find ∠j.
- Find ∠k.
(a)
∠DHE = ∠DEH (Isosceles triangle)
∠j
= 180° - 39° - 39° - 71°
= 31° (Interior angles)
(b)
∠DHE
= 180° - 39° - 39°
= 102° (Angles sum of triangle)
∠k
= 360° - 102°
= 258° (Angles at a point)
Answer(s): (a) 31°; (b) 258°