In the figure, G is the centre of a semicircle and GCDE is a rhombus. Given that ∠GEF = 25°, find
- ∠f
- ∠g
(a)
∠GEF
= ∠GFE
= 25° (Isosceles triangle)
∠EGF
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠f
= ∠EGF
= 130° (Corresponding angles)
(b)
∠g
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°