Given that TUVW is a trapezium and TUW is an isosceles triangle, find the values of
- ∠v
- ∠w
(a)
∠v
= 180° - 83°
= 97° (Interior angles)
(b)
∠WUT
= 83° ÷ 2
= 41.5° (Exterior angle of a triangle)
∠VWU = ∠WUT = 41.5° (Alternate angles)
∠w
= 180° - 90° - 41.5°
= 48.5° (Angles sum of triangle)
Answer(s): (a) 97°; (b) 48.5°