In the figure, not drawn to scale, O is the centre of the semi circle and ORST is a rhombus. ∠OTU = 34°. Find
- ∠k
- ∠m.
(a)
OT = OU = Radius
∠TOU
= 180° - 34° - 34°
= 112° (Isosceles triangle)
∠k = ∠TOU = 112° (Corresponding angles, RS//OT)
(b)
∠m
= 180° - 112°
= 68° (Interior angles, ST//RO)
Answer(s): (a) 112°; (b) 68°