The figure shows a square KLPQ and a rectangle LMNP. ∠MQP = 37°.
- Find ∠LSQ.
- Find ∠KRM.
(a)
∠LSQ
= 37° + 90°
= 127° (Exterior angle of a triangle)
(b)
∠KPQ = 45°
∠PRQ
= 180° - 37° - 45°
= 98° (Angles sum of triangle)
∠KRM
= ∠PRQ
= 98° (Vertically opposite angles)
Answer(s): (a) 127°; (b) 98°