In the figure, P is the centre of a semicircle and PKLM is a rhombus. Given that ∠PMN = 25°, find
- ∠d
- ∠e
(a)
∠PMN
= ∠PNM
= 25° (Isosceles triangle)
∠MPN
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠d
= ∠MPN
= 130° (Corresponding angles)
(b)
∠e
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°