In the figure, not drawn to scale, O is the centre of the semi circle and OLMN is a rhombus. ∠ONP = 34°. Find
- ∠y
- ∠z.
(a)
ON = OP = Radius
∠NOP
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠y = ∠NOP = 112° (Corresponding angles, LM//ON)
(b)
∠z
= 180° - 112°
= 68° (Interior angles, MN//LO)
Answer(s): (a) 112°; (b) 68°