The figure is not drawn to scale. RSUV is a parallelogram. ∠VRO is 55° and ∠UST is 25°. RST is an isosceles triangle and RS = ST.
- Find ∠OTS.
- Find ∠RVU.
(a)
∠SOR = 55° (Alternate angles, RV//SU)
∠SOT
= 180° - 55°
= 125° (Angles on a straight line)
∠OTS
= 180° - 125° - 25°
= 30° (Angles sum of triangle)
(b)
∠SRO = 30° (Isosceles triangle RST)
∠RVU
= 180° - 55° - 30°
= 95° (Interior angles, RS//VU)
Answer(s): (a) 30°; (b) 95°