The figure is not drawn to scale. TUWX is a parallelogram. ∠XTO is 60° and ∠WUV is 25°. TUV is an isosceles triangle and TU = UV.
- Find ∠OVU.
- Find ∠TXW.
(a)
∠UOT = 60° (Alternate angles, TX//UW)
∠UOV
= 180° - 60°
= 120° (Angles on a straight line)
∠OVU
= 180° - 120° - 25°
= 35° (Angles sum of triangle)
(b)
∠UTO = 35° (Isosceles triangle TUV)
∠TXW
= 180° - 60° - 35°
= 85° (Interior angles, TU//XW)
Answer(s): (a) 35°; (b) 85°