The figure shows a square PQTU and a rectangle QRST. ∠RUT = 35°.
- Find ∠QWU.
- Find ∠PVR.
(a)
∠QWU
= 35° + 90°
= 125° (Exterior angle of a triangle)
(b)
∠PTU = 45°
∠TVU
= 180° - 35° - 45°
= 100° (Angles sum of triangle)
∠PVR
= ∠TVU
= 100° (Vertically opposite angles)
Answer(s): (a) 125°; (b) 100°