The figure shows a square KLPQ and a rectangle LMNP. ∠MQP = 45°.
- Find ∠LSQ.
- Find ∠KRM.
(a)
∠LSQ
= 45° + 90°
= 135° (Exterior angle of a triangle)
(b)
∠KPQ = 45°
∠PRQ
= 180° - 45° - 45°
= 90° (Angles sum of triangle)
∠KRM
= ∠PRQ
= 90° (Vertically opposite angles)
Answer(s): (a) 135°; (b) 90°