The figure is not drawn to scale. ST//VU and UT//WS. Triangles SWT and TUV are isosceles triangles. Find
- ∠c
- ∠d.
(a)
∠TUV = ∠TSW = 70° (UT//WS, TS//UV)
∠STW
= (180° - 70°) ÷ 2
= 110° ÷ 2
= 55° (Isosceles triangle)
∠UTV
= 180° - 70° - 70°
= 40° (Isosceles triangle)
∠c
= 180° - 70° - 55° - 40°
= 15° (Interior angles, TS//UV)
(b)
∠d
= 180° - 28° - 15°
= 137° (Angles sum of triangle)
Answer(s): (a) 15°; (b) 137°
