In the figure, not drawn to scale, O is the centre of the semi circle and OLMN is a rhombus. ∠ONP = 32°. Find
- ∠x
- ∠y.
(a)
ON = OP = Radius
∠NOP
= 180° - 32° - 32°
= 116° (Isosceles triangle)
∠x = ∠NOP = 116° (Corresponding angles, LM//ON)
(b)
∠y
= 180° - 116°
= 64° (Interior angles, MN//LO)
Answer(s): (a) 116°; (b) 64°