In the figure, STUV is a quadrilateral where ∠STU = 128° and ∠TUV = 112°. ∠UVW = 75° and TU = UV. The point W on SV is such that TW is parallel to UV. Calculate
- ∠TVW
- ∠TSW
(a)
∠UVT
= (180° - 112°) ÷ 2
= 34° (Isosceles triangle)
∠TVW
= 75° - 34°
= 41°
(b)
∠TSW
= 360° - 112° - 75° - 128°
= 45° (Sum of angles in a quadrilateral)
Answer(s): (a) 41°; (b) 45°