In the figure, M is the centre of a semicircle and MHJK is a rhombus. Given that ∠MKL = 25°, find
- ∠q
- ∠r
(a)
∠MKL
= ∠MLK
= 25° (Isosceles triangle)
∠KML
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠q
= ∠KML
= 130° (Corresponding angles)
(b)
∠r
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°