In the figure, T is the centre of a semicircle and TPQR is a rhombus. Given that ∠TRS = 27°, find
- ∠v
- ∠w
(a)
∠TRS
= ∠TSR
= 27° (Isosceles triangle)
∠RTS
= 180° - 27° - 27°
= 126° (Angles sum of triangle)
∠v
= ∠RTS
= 126° (Corresponding angles)
(b)
∠w
= 180° - 126°
= 54° (Interior angles)
Answer(s): (a) 126°; (b) 54°