The figure is not drawn to scale. RSUV is a parallelogram. ∠VRO is 60° and ∠UST is 24°. RST is an isosceles triangle and RS = ST.
- Find ∠OTS.
- Find ∠RVU.
(a)
∠SOR = 60° (Alternate angles, RV//SU)
∠SOT
= 180° - 60°
= 120° (Angles on a straight line)
∠OTS
= 180° - 120° - 24°
= 36° (Angles sum of triangle)
(b)
∠SRO = 36° (Isosceles triangle RST)
∠RVU
= 180° - 60° - 36°
= 84° (Interior angles, RS//VU)
Answer(s): (a) 36°; (b) 84°