In the figure, F is the centre of a semicircle and FBCD is a rhombus. Given that ∠FDE = 26°, find
- ∠y
- ∠z
(a)
∠FDE
= ∠FED
= 26° (Isosceles triangle)
∠DFE
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠y
= ∠DFE
= 128° (Corresponding angles)
(b)
∠z
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°