SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 40°, ∠SZY = 64° and ∠VXW = 52°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 26°) ÷ 2
= 77° (Isosceles triangle)
∠UXV
= 180° - 77° - 40° - 52°
= 11° (Angles on a straight line)
(b)
∠VUX
= 180° - 52° -11°
= 117° (Interior angles)
Answer(s): (a) 11°; (b) 117°