RUVY and RTWY are parallelograms and SXW is an isosceles triangle. Given that ∠SWT = 42°, ∠RYX = 61° and ∠UWV = 51°, find
- ∠TWU,
- ∠UTW.
(a)
∠SWX
= (180° - 23°) ÷ 2
= 78.5° (Isosceles triangle)
∠TWU
= 180° - 78.5° - 42° - 51°
= 8.5° (Angles on a straight line)
(b)
∠UTW
= 180° - 51° -8.5°
= 120.5° (Interior angles)
Answer(s): (a) 8.5°; (b) 120.5°