In the figure, L is the centre of a semicircle and LGHJ is a rhombus. Given that ∠LJK = 25°, find
- ∠q
- ∠r
(a)
∠LJK
= ∠LKJ
= 25° (Isosceles triangle)
∠JLK
= 180° - 25° - 25°
= 130° (Angles sum of triangle)
∠q
= ∠JLK
= 130° (Corresponding angles)
(b)
∠r
= 180° - 130°
= 50° (Interior angles)
Answer(s): (a) 130°; (b) 50°