The figure is not drawn to scale. STVW is a parallelogram. ∠WSO is 58° and ∠VTU is 28°. STU is an isosceles triangle and ST = TU.
- Find ∠OUT.
- Find ∠SWV.
(a)
∠TOS = 58° (Alternate angles, SW//TV)
∠TOU
= 180° - 58°
= 122° (Angles on a straight line)
∠OUT
= 180° - 122° - 28°
= 30° (Angles sum of triangle)
(b)
∠TSO = 30° (Isosceles triangle STU)
∠SWV
= 180° - 58° - 30°
= 92° (Interior angles, ST//WV)
Answer(s): (a) 30°; (b) 92°