In the figure, MNPQ is a square and ∠NRQ = 42°. Calculate
- ∠QSP
- ∠NQS
(a)
∠NSR
= 180° - 90° - 42°
= 48° (Angles sum of triangle)
∠QSP = 48° (Vertically opposite angles)
(b)
∠QNS = 90° ÷ 2 = 45°
∠NQS
= 180° - 42° - 90° - 45°
= 3° (Angles sum of triangle)
Answer(s): (a) 48°; (b) 3°