In the figure, not drawn to scale, O is the centre of the semi circle and OHJK is a rhombus. ∠OKL = 32°. Find
- ∠x
- ∠y.
(a)
OK = OL = Radius
∠KOL
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠x = ∠KOL = 116° (Corresponding angles, HJ//OK)
(b)
∠y
= 180° - 116°
= 64° (Interior angles, JK//HO)
Answer(s): (a) 116°; (b) 64°