The figure is not drawn to scale. TU//WV and VU//XT. Triangles TXU and UVW are isosceles triangles. Find
- ∠w
- ∠x.
(a)
∠UVW = ∠UTX = 78° (VU//XT, UT//VW)
∠TUX
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠VUW
= 180° - 78° - 78°
= 24° (Isosceles triangle)
∠w
= 180° - 78° - 51° - 24°
= 27° (Interior angles, UT//VW)
(b)
∠x
= 180° - 25° - 27°
= 128° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 128°