In the figure, STUV is a quadrilateral where ∠STU = 134° and ∠TUV = 118°. ∠UVW = 70° and TU = UV. The point W on SV is such that TW is parallel to UV. Calculate
- ∠TVW
- ∠TSW
(a)
∠UVT
= (180° - 118°) ÷ 2
= 31° (Isosceles triangle)
∠TVW
= 70° - 31°
= 39°
(b)
∠TSW
= 360° - 118° - 70° - 134°
= 38° (Sum of angles in a quadrilateral)
Answer(s): (a) 39°; (b) 38°