In the figure, J is the centre of a semicircle and JEFG is a rhombus. Given that ∠JGH = 30°, find
- ∠v
- ∠w
(a)
∠JGH
= ∠JHG
= 30° (Isosceles triangle)
∠GJH
= 180° - 30° - 30°
= 120° (Angles sum of triangle)
∠v
= ∠GJH
= 120° (Corresponding angles)
(b)
∠w
= 180° - 120°
= 60° (Interior angles)
Answer(s): (a) 120°; (b) 60°