The figure shows a square NPST and a rectangle PQRS. ∠QTS = 40°.
- Find ∠PVT.
- Find ∠NUQ.
(a)
∠PVT
= 40° + 90°
= 130° (Exterior angle of a triangle)
(b)
∠NST = 45°
∠SUT
= 180° - 40° - 45°
= 95° (Angles sum of triangle)
∠NUQ
= ∠SUT
= 95° (Vertically opposite angles)
Answer(s): (a) 130°; (b) 95°