In the figure, Z is the centre of a semicircle and ZVWX is a rhombus. Given that ∠ZXY = 27°, find
- ∠d
- ∠e
(a)
∠ZXY
= ∠ZYX
= 27° (Isosceles triangle)
∠XZY
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠d
= ∠XZY
= 126° (Corresponding angles)
(b)
∠e
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°