Given that STUV is a trapezium and STV is an isosceles triangle, find the values of
- ∠x
- ∠y
(a)
∠x
= 180° - 85°
= 95° (Interior angles)
(b)
∠VTS
= 85° ÷ 2
= 42.5° (Exterior angle of a triangle)
∠UVT = ∠VTS = 42.5° (Alternate angles)
∠y
= 180° - 89° - 42.5°
= 48.5° (Angles sum of triangle)
Answer(s): (a) 95°; (b) 48.5°