In the figure, T is the centre of a semicircle and TPQR is a rhombus. Given that ∠TRS = 26°, find
- ∠s
- ∠t
(a)
∠TRS
= ∠TSR
= 26° (Isosceles triangle)
∠RTS
= 180° - 26° - 26°
= 128° (Angles sum of triangle)
∠s
= ∠RTS
= 128° (Corresponding angles)
(b)
∠t
= 180° - 128°
= 52° (Interior angles)
Answer(s): (a) 128°; (b) 52°