In the figure, T is the centre of a semicircle and TPQR is a rhombus. Given that ∠TRS = 25°, find
- ∠j
- ∠k
(a)
∠TRS
= ∠TSR
= 25° (Isosceles triangle)
∠RTS
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠j
= ∠RTS
= 130° (Corresponding angles)
(b)
∠k
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°