In the figure, M is the centre of a semicircle and MHJK is a rhombus. Given that ∠MKL = 30°, find
- ∠k
- ∠m
(a)
∠MKL
= ∠MLK
= 30° (Isosceles triangle)
∠KML
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠k
= ∠KML
= 120° (Corresponding angles)
(b)
∠m
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°