RUVY and RTWY are parallelograms and SXW is an isosceles triangle. Given that ∠SWT = 39°, ∠RYX = 63° and ∠UWV = 49°, find
- ∠TWU,
- ∠UTW.
(a)
∠SWX
= (180° - 24°) ÷ 2
= 78° (Isosceles triangle)
∠TWU
= 180° - 78° - 39° - 49°
= 14° (Angles on a straight line)
(b)
∠UTW
= 180° - 49° -14°
= 117° (Interior angles)
Answer(s): (a) 14°; (b) 117°