The figure shows a square NPST and a rectangle PQRS. ∠QTS = 45°.
- Find ∠PVT.
- Find ∠NUQ.
(a)
∠PVT
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠NST = 45°
∠SUT
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠NUQ
= ∠SUT
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°