In the figure, U is the centre of a semicircle and UQRS is a rhombus. Given that ∠UST = 31°, find
- ∠f
- ∠g
(a)
∠UST
= ∠UTS
= 31° (Isosceles triangle)
∠SUT
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠f
= ∠SUT
= 118° (Corresponding angles)
(b)
∠g
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°