Question

Question 122

The angles of a triangle are in the ratio 2 : 3 : 5. Find the angles.

Answer 1

Let the measures of the given angles of a triangle be 2x, 3x and 5x
$\because$ Sum of all the angles in a triangle $={180}^{\circ }$
$\therefore$ $2x+3x+5x={180}^{\circ }\Rightarrow 10x={180}^{\circ }$
$\Rightarrow x=\frac{{180}^{\circ }}{10}={18}^{\circ }$
So, the angles are $2x=2\times {18}^{\circ }={36}^{\circ },3x=3\times {18}^{\circ }={54}^{\circ }$ and $5x=5\times {18}^{\circ }={90}^{\circ }$