The figure is not drawn to scale. RSUV is a parallelogram. ∠VRO is 56° and ∠UST is 29°. RST is an isosceles triangle and RS = ST.
- Find ∠OTS.
- Find ∠RVU.
(a)
∠SOR = 56° (Alternate angles, RV//SU)
∠SOT
= 180° - 56°
= 124° (Angles on a straight line)
∠OTS
= 180° - 124° - 29°
= 27° (Angles sum of triangle)
(b)
∠SRO = 27° (Isosceles triangle RST)
∠RVU
= 180° - 56° - 27°
= 97° (Interior angles, RS//VU)
Answer(s): (a) 27°; (b) 97°