The figure shows a square KLPQ and a rectangle LMNP. ∠MQP = 39°.
- Find ∠LSQ.
- Find ∠KRM.
(a)
∠LSQ
= 39° + 90°
= 129° (Exterior angle of a triangle)
(b)
∠KPQ = 45°
∠PRQ
= 180° - 39° - 45°
= 96° (Angles sum of triangle)
∠KRM
= ∠PRQ
= 96° (Vertically opposite angles)
Answer(s): (a) 129°; (b) 96°