In the figure, Z is the centre of a semicircle and ZVWX is a rhombus. Given that ∠ZXY = 31°, find
- ∠t
- ∠v
(a)
∠ZXY
= ∠ZYX
= 31° (Isosceles triangle)
∠XZY
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠t
= ∠XZY
= 118° (Corresponding angles)
(b)
∠v
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°