The figure shows a square MNRS and a rectangle NPQR. ∠PSR = 38°.
- Find ∠NUS.
- Find ∠MTP.
(a)
∠NUS
= 38° + 90°
= 128° (Exterior angle of a triangle)
(b)
∠MRS = 45°
∠RTS
= 180° - 38° - 45°
= 97° (Angles sum of triangle)
∠MTP
= ∠RTS
= 97° (Vertically opposite angles)
Answer(s): (a) 128°; (b) 97°