SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 42°, ∠SZY = 61° and ∠VXW = 52°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠UXV
= 180° - 77.5° - 42° - 52°
= 8.5° (Angles on a straight line)
(b)
∠VUX
= 180° - 52° -8.5°
= 119.5° (Interior angles)
Answer(s): (a) 8.5°; (b) 119.5°