In the figure, not drawn to scale, O is the centre of the semi circle and OJKL is a rhombus. ∠OLM = 34°. Find
- ∠b
- ∠c.
(a)
OL = OM = Radius
∠LOM
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠b = ∠LOM = 112° (Corresponding angles, JK//OL)
(b)
∠c
= 180° - 112°
= 68° (Interior angles, KL//JO)
Answer(s): (a) 112°; (b) 68°