In the figure, N is the centre of a semicircle and NJKL is a rhombus. Given that ∠NLM = 30°, find
- ∠m
- ∠n
(a)
∠NLM
= ∠NML
= 30° (Isosceles triangle)
∠LNM
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠m
= ∠LNM
= 120° (Corresponding angles)
(b)
∠n
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°