In the figure, TU = TW, ∠UTW = 34° and ∠XVW = 12°. Find
- ∠v
- ∠w
(a)
∠TUW
= (180° - 34°) ÷ 2
= 73° (Isosceles triangle)
∠v
= 180° - 12° - 73°
= 95° (Angles sum of triangle)
(b)
∠TWV
= 180° - 73°
= 107° (Angles on a straight line)
∠w
= 12° + 107°
= 119° (Exterior angle of a triangle)
Answer(s): (a) 95°; (b) 119°