RUVY and RTWY are parallelograms and SXW is an isosceles triangle. Given that ∠SWT = 37°, ∠RYX = 65° and ∠UWV = 49°, find
- ∠TWU,
- ∠UTW.
(a)
∠SWX
= (180° - 27°) ÷ 2
= 76.5° (Isosceles triangle)
∠TWU
= 180° - 76.5° - 37° - 49°
= 17.5° (Angles on a straight line)
(b)
∠UTW
= 180° - 49° -17.5°
= 113.5° (Interior angles)
Answer(s): (a) 17.5°; (b) 113.5°