The figure is not drawn to scale. TU//WV and VU//XT. Triangles TXU and UVW are isosceles triangles. Find
- ∠i
- ∠j.
(a)
∠UVW = ∠UTX = 70° (VU//XT, UT//VW)
∠TUX
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠VUW
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠i
= 180° - 70° - 55° - 40°
= 15° (Interior angles, UT//VW)
(b)
∠j
= 180° - 29° - 15°
= 136° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 136°
