SVWZ and SUXZ are parallelograms and TYX is an isosceles triangle. Given that ∠TXU = 38°, ∠SZY = 65° and ∠VXW = 49°, find
- ∠UXV,
- ∠VUX.
(a)
∠TXY
= (180° - 25°) ÷ 2
= 77.5° (Isosceles triangle)
∠UXV
= 180° - 77.5° - 38° - 49°
= 15.5° (Angles on a straight line)
(b)
∠VUX
= 180° - 49° -15.5°
= 115.5° (Interior angles)
Answer(s): (a) 15.5°; (b) 115.5°