The figure shows a rectangle PQRS. ∠PST = 57° and ∠QSR = 39°. Find
- ∠QST
- ∠PQS
(a)
∠QST
= 57° + 39° - 90°
= 6° (Overlapping angles)
(b)
∠PSQ
= 57° - 6°
= 51° (Overlapping angles)
∠PQS
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
Answer(s): (a) 6°; (b) 39°