In the figure, not drawn to scale, O is the centre of the semi circle and OLMN is a rhombus. ∠ONP = 33°. Find
- ∠e
- ∠f.
(a)
ON = OP = Radius
∠NOP
= 180° - 33° - 33°
= 114° (Isosceles triangle)
∠e = ∠NOP = 114° (Corresponding angles, LM//ON)
(b)
∠f
= 180° - 114°
= 66° (Interior angles, MN//LO)
Answer(s): (a) 114°; (b) 66°