In the figure, not drawn to scale, O is the centre of the semi circle and OEFG is a rhombus. ∠OGH = 30°. Find
- ∠b
- ∠c.
(a)
OG = OH = Radius
∠GOH
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠b = ∠GOH = 120° (Corresponding angles, EF//OG)
(b)
∠c
= 180° - 120°
= 60° (Interior angles, FG//EO)
Answer(s): (a) 120°; (b) 60°