In the diagram shown, QRS is a right-angled triangle and QR = RS = QT. Find
- ∠TQS
- ∠QTR
(a)
∠QSR
= (180° - 90°) ÷ 2
= 45° (Isosceles triangle)
∠TQS
= 45° - 31°
= 14°
(b)
∠QTR
= (180° - 31°) ÷ 2
= 74.5° (Isosceles triangle)
Answer(s): (a) 14°; (b) 74.5°