In the figure, G is the centre of a semicircle and GCDE is a rhombus. Given that ∠GEF = 29°, find
- ∠j
- ∠k
(a)
∠GEF
= ∠GFE
= 29° (Isosceles triangle)
∠EGF
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠j
= ∠EGF
= 122° (Corresponding angles)
(b)
∠k
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°