SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 36°, ∠SZY = 63° and ∠VXW = 49°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠UXV
= 180° - 76.5° - 36° - 49°
= 18.5° (Angles on a straight line)
(b)
∠VUX
= 180° - 49° -18.5°
= 112.5° (Interior angles)
Answer(s): (a) 18.5°; (b) 112.5°