In the figure, UV = UX, ∠VUX = 31° and ∠YWX = 16°. Find
- ∠q
- ∠r
(a)
∠UVX
= (180° - 31°) ÷ 2
= 74.5° (Isosceles triangle)
∠q
= 180° - 16° - 74.5°
= 89.5° (Angles sum of triangle)
(b)
∠UXW
= 180° - 74.5°
= 105.5° (Angles on a straight line)
∠r
= 16° + 105.5°
= 121.5° (Exterior angle of a triangle)
Answer(s): (a) 89.5°; (b) 121.5°