Question
The angles of a triangle are in the ratio 3 :2 : 7. Find each angle.
✓
Answer
Ratio in angles of a triangle $=3: 2: 7$
Sum of ratios $=3+2+7=12$
Sum of angles of a triangle $=180^{\circ}$
$\therefore$ First angle $=\frac{3}{12} \times 180^{\circ}=45^{\circ}$
Second angle $=\frac{2}{12} \times 180^{\circ}=30^{\circ}$
Third angle $=\frac{7}{12} \times 180^{\circ}=105^{\circ}$
Sum of ratios $=3+2+7=12$
Sum of angles of a triangle $=180^{\circ}$
$\therefore$ First angle $=\frac{3}{12} \times 180^{\circ}=45^{\circ}$
Second angle $=\frac{2}{12} \times 180^{\circ}=30^{\circ}$
Third angle $=\frac{7}{12} \times 180^{\circ}=105^{\circ}$
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