The figure shows a square PQTU and a rectangle QRST. ∠RUT = 42°.
- Find ∠QWU.
- Find ∠PVR.
(a)
∠QWU
= 42° + 90°
= 132° (Exterior angle of a triangle)
(b)
∠PTU = 45°
∠TVU
= 180° - 42° - 45°
= 93° (Angles sum of triangle)
∠PVR
= ∠TVU
= 93° (Vertically opposite angles)
Answer(s): (a) 132°; (b) 93°