In the figure, not drawn to scale, O is the centre of the semi circle and OLMN is a rhombus. ∠ONP = 30°. Find
- ∠d
- ∠e.
(a)
ON = OP = Radius
∠NOP
= 180° - 30° - 30°
= 120° (Isosceles triangle)
∠d = ∠NOP = 120° (Corresponding angles, LM//ON)
(b)
∠e
= 180° - 120°
= 60° (Interior angles, MN//LO)
Answer(s): (a) 120°; (b) 60°