SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 41°, ∠SZY = 62° and ∠VXW = 47°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 26°) ÷ 2
= 77° (Isosceles triangle)
∠UXV
= 180° - 77° - 41° - 47°
= 15° (Angles on a straight line)
(b)
∠VUX
= 180° - 47° -15°
= 118° (Interior angles)
Answer(s): (a) 15°; (b) 118°