The figure shows a square MNRS and a rectangle NPQR. ∠PSR = 36°.
- Find ∠NUS.
- Find ∠MTP.
(a)
∠NUS
= 36° + 90°
= 126° (Exterior angle of a triangle)
(b)
∠MRS = 45°
∠RTS
= 180° - 36° - 45°
= 99° (Angles sum of triangle)
∠MTP
= ∠RTS
= 99° (Vertically opposite angles)
Answer(s): (a) 126°; (b) 99°