In the figure, UV = UX, ∠VUX = 37° and ∠YWX = 13°. Find
- ∠t
- ∠v
(a)
∠UVX
= (180° - 37°) ÷ 2
= 71.5° (Isosceles triangle)
∠t
= 180° - 13° - 71.5°
= 95.5° (Angles sum of triangle)
(b)
∠UXW
= 180° - 71.5°
= 108.5° (Angles on a straight line)
∠v
= 13° + 108.5°
= 121.5° (Exterior angle of a triangle)
Answer(s): (a) 95.5°; (b) 121.5°