The figure shows a square NPST and a rectangle PQRS. ∠QTS = 38°.
- Find ∠PVT.
- Find ∠NUQ.
(a)
∠PVT
= 38° + 90°
= 128° (Exterior angle of a triangle)
(b)
∠NST = 45°
∠SUT
= 180° - 38° - 45°
= 97° (Angles sum of triangle)
∠NUQ
= ∠SUT
= 97° (Vertically opposite angles)
Answer(s): (a) 128°; (b) 97°