In the figure, M is the centre of a semicircle and MHJK is a rhombus. Given that ∠MKL = 28°, find
- ∠c
- ∠d
(a)
∠MKL
= ∠MLK
= 28° (Isosceles triangle)
∠KML
= 180° - 28° - 28°
= 124° (Angles sum of triangle)
∠c
= ∠KML
= 124° (Corresponding angles)
(b)
∠d
= 180° - 124°
= 56° (Interior angles)
Answer(s): (a) 124°; (b) 56°