The figure shows a square LMQR and a rectangle MNPQ. ∠NRQ = 44°.
- Find ∠MTR.
- Find ∠LSN.
(a)
∠MTR
= 44° + 90°
= 134° (Exterior angle of a triangle)
(b)
∠LQR = 45°
∠QSR
= 180° - 44° - 45°
= 91° (Angles sum of triangle)
∠LSN
= ∠QSR
= 91° (Vertically opposite angles)
Answer(s): (a) 134°; (b) 91°