In the figure, V is the centre of a semicircle and VRST is a rhombus. Given that ∠VTU = 28°, find
- ∠y
- ∠z
(a)
∠VTU
= ∠VUT
= 28° (Isosceles triangle)
∠TVU
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠y
= ∠TVU
= 124° (Corresponding angles)
(b)
∠z
= 180° - 124°
= 56° (Interior angles)
Answer(s): (a) 124°; (b) 56°