The figure shows a square QRUV and a rectangle RSTU. ∠SVU = 45°.
- Find ∠RXV.
- Find ∠QWS.
(a)
∠RXV
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠QUV = 45°
∠UWV
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠QWS
= ∠UWV
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°