Question

The angles of a triangles are in the ratio $3:7:8$. Find the greatest and the smallest angles.

Answer 1

The ratio of angles of triangles are $3:7:8$

Let the measures of triangles are $3x,7x,8x$.

$\Rightarrow$ $3x+7x+8x={180}^o$ [ Sum of angles of triangle is ${180}^o$ ]

$\Rightarrow$ $18x={180}^o$

$\Rightarrow$ $x=\frac{{180}^o}{18}={10}^o$

$\Rightarrow$ $3x=3\times {10}^o={30}^o$

$\Rightarrow$ $7x=7\times {10}^o={70}^o$

$\Rightarrow$ $8x=8\times {10}^o={80}^o$

$\therefore$ Greatest and the smallest angles are ${80}^o$ and ${30}^o$.