In the figure, U is the centre of a semicircle and UQRS is a rhombus. Given that ∠UST = 27°, find
- ∠s
- ∠t
(a)
∠UST
= ∠UTS
= 27° (Isosceles triangle)
∠SUT
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠s
= ∠SUT
= 126° (Corresponding angles)
(b)
∠t
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°