In the figure, M is the centre of a semicircle and MHJK is a rhombus. Given that ∠MKL = 31°, find
- ∠p
- ∠q
(a)
∠MKL
= ∠MLK
= 31° (Isosceles triangle)
∠KML
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠p
= ∠KML
= 118° (Corresponding angles)
(b)
∠q
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°