SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 40°, ∠SZY = 65° and ∠VXW = 47°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 23°) ÷ 2
= 78.5° (Isosceles triangle)
∠UXV
= 180° - 78.5° - 40° - 47°
= 14.5° (Angles on a straight line)
(b)
∠VUX
= 180° - 47° -14.5°
= 118.5° (Interior angles)
Answer(s): (a) 14.5°; (b) 118.5°