In the figure, not drawn to scale, O is the centre of the semi circle and OEFG is a rhombus. ∠OGH = 32°. Find
- ∠x
- ∠y.
(a)
OG = OH = Radius
∠GOH
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠x = ∠GOH = 116° (Corresponding angles, EF//OG)
(b)
∠y
= 180° - 116°
= 64° (Interior angles, FG//EO)
Answer(s): (a) 116°; (b) 64°