In the figure, T is the centre of a semicircle and TPQR is a rhombus. Given that ∠TRS = 30°, find
- ∠s
- ∠t
(a)
∠TRS
= ∠TSR
= 30° (Isosceles triangle)
∠RTS
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠s
= ∠RTS
= 120° (Corresponding angles)
(b)
∠t
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°