The figure shows a square MNRS and a rectangle NPQR. ∠PSR = 42°.
- Find ∠NUS.
- Find ∠MTP.
(a)
∠NUS
= 42° + 90°
= 132° (Exterior angle of a triangle)
(b)
∠MRS = 45°
∠RTS
= 180° - 42° - 45°
= 93° (Angles sum of triangle)
∠MTP
= ∠RTS
= 93° (Vertically opposite angles)
Answer(s): (a) 132°; (b) 93°