STUV is a quadrilateral and OSVU is a trapezium in which OS // VU and ∠TSV = 107°, ∠SVU = 122°, ∠TUV = 64° and VU = VS. Find
- ∠STO
- ∠VSO
- ∠SUV.
(a)
∠STO
= 360° - 122° -107° - 64°
= 67° (Sum of angles in a quadrilateral)
(b)
∠VSO
= 180° - 122°
= 58° (Interior angles, SO//VC)
(c)
∠SUV
= (180° - 122°) ÷ 2
= 58 ÷ 2
= 29° (Isosceles triangle)
Answer(s): (a) 67°; (b) 58°; (c) 29°