In the figure, N is the centre of a semicircle and NJKL is a rhombus. Given that ∠NLM = 25°, find
- ∠i
- ∠j
(a)
∠NLM
= ∠NML
= 25° (Isosceles triangle)
∠LNM
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠i
= ∠LNM
= 130° (Corresponding angles)
(b)
∠j
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°