STUV is a quadrilateral and OSVU is a trapezium in which OS // VU and ∠TSV = 107°, ∠SVU = 124°, ∠TUV = 66° and VU = VS. Find
- ∠STO
- ∠VSO
- ∠SUV.
(a)
∠STO
= 360° - 124° -107° - 66°
= 63° (Sum of angles in a quadrilateral)
(b)
∠VSO
= 180° - 124°
= 56° (Interior angles, SO//VC)
(c)
∠SUV
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle)
Answer(s): (a) 63°; (b) 56°; (c) 28°