SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 38°, ∠SZY = 62° and ∠VXW = 52°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 23°) ÷ 2
= 78.5° (Isosceles triangle)
∠UXV
= 180° - 78.5° - 38° - 52°
= 11.5° (Angles on a straight line)
(b)
∠VUX
= 180° - 52° -11.5°
= 116.5° (Interior angles)
Answer(s): (a) 11.5°; (b) 116.5°