The figure shows a square LMQR and a rectangle MNPQ. ∠NRQ = 42°.
- Find ∠MTR.
- Find ∠LSN.
(a)
∠MTR
= 42° + 90°
= 132° (Exterior angle of a triangle)
(b)
∠LQR = 45°
∠QSR
= 180° - 42° - 45°
= 93° (Angles sum of triangle)
∠LSN
= ∠QSR
= 93° (Vertically opposite angles)
Answer(s): (a) 132°; (b) 93°