In the figure, not drawn to scale, O is the centre of the semi circle and OHJK is a rhombus. ∠OKL = 34°. Find
- ∠b
- ∠c.
(a)
OK = OL = Radius
∠KOL
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠b = ∠KOL = 112° (Corresponding angles, HJ//OK)
(b)
∠c
= 180° - 112°
= 68° (Interior angles, JK//HO)
Answer(s): (a) 112°; (b) 68°