The figure is not drawn to scale. TU//WV and VU//XT. Triangles TXU and UVW are isosceles triangles. Find
- ∠e
- ∠f.
(a)
∠UVW = ∠UTX = 72° (VU//XT, UT//VW)
∠TUX
= (180° - 72°) ÷ 2
= 108° ÷ 2
= 54° (Isosceles triangle)
∠VUW
= 180° - 72° - 72°
= 36° (Isosceles triangle)
∠e
= 180° - 72° - 54° - 36°
= 18° (Interior angles, UT//VW)
(b)
∠f
= 180° - 28° - 18°
= 134° (Angles sum of triangle)
Answer(s): (a) 18°; (b) 134°