In the figure, E is the centre of a semicircle and EABC is a rhombus. Given that ∠ECD = 31°, find
- ∠n
- ∠p
(a)
∠ECD
= ∠EDC
= 31° (Isosceles triangle)
∠CED
= 180° - 31° - 31°
= 118° (Angles sum of triangle)
∠n
= ∠CED
= 118° (Corresponding angles)
(b)
∠p
= 180° - 118°
= 62° (Interior angles)
Answer(s): (a) 118°; (b) 62°