The figure is not drawn to scale. ST//VU and UT//WS. Triangles SWT and TUV are isosceles triangles. Find
- ∠g
- ∠h.
(a)
∠TUV = ∠TSW = 78° (UT//WS, TS//UV)
∠STW
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
∠UTV
= 180° - 78° - 78°
= 24° (Isosceles triangle)
∠g
= 180° - 78° - 51° - 24°
= 27° (Interior angles, TS//UV)
(b)
∠h
= 180° - 30° - 27°
= 123° (Angles sum of triangle)
Answer(s): (a) 27°; (b) 123°