In the figure, R is the centre of a semicircle and RMNP is a rhombus. Given that ∠RPQ = 25°, find
- ∠s
- ∠t
(a)
∠RPQ
= ∠RQP
= 25° (Isosceles triangle)
∠PRQ
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠s
= ∠PRQ
= 130° (Corresponding angles)
(b)
∠t
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°