The figure shows a square LMQR and a rectangle MNPQ. ∠NRQ = 36°.
- Find ∠MTR.
- Find ∠LSN.
(a)
∠MTR
= 36° + 90°
= 126° (Exterior angle of a triangle)
(b)
∠LQR = 45°
∠QSR
= 180° - 36° - 45°
= 99° (Angles sum of triangle)
∠LSN
= ∠QSR
= 99° (Vertically opposite angles)
Answer(s): (a) 126°; (b) 99°