In the figure, N is the centre of a semicircle and NJKL is a rhombus. Given that ∠NLM = 29°, find
- ∠j
- ∠k
(a)
∠NLM
= ∠NML
= 29° (Isosceles triangle)
∠LNM
= 180° - 29° - 29°
= 122° (Angles sum of triangle)
∠j
= ∠LNM
= 122° (Corresponding angles)
(b)
∠k
= 180° - 122°
= 58° (Interior angles)
Answer(s): (a) 122°; (b) 58°