SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 36°, ∠SZY = 61° and ∠VXW = 48°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 26°) ÷ 2
= 77° (Isosceles triangle)
∠UXV
= 180° - 77° - 36° - 48°
= 19° (Angles on a straight line)
(b)
∠VUX
= 180° - 48° -19°
= 113° (Interior angles)
Answer(s): (a) 19°; (b) 113°