In the figure, G is the centre of a semicircle and GCDE is a rhombus. Given that ∠GEF = 30°, find
- ∠e
- ∠f
(a)
∠GEF
= ∠GFE
= 30° (Isosceles triangle)
∠EGF
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠e
= ∠EGF
= 120° (Corresponding angles)
(b)
∠f
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°