Question

If the measures of angles of a triangle are in the ratio of 3 : 4 : 5, what is the measure of the smallest angle of the triangle?

Answer 1

Ratio in the measures of the triangle =3 : 4 : 5

Sum jof angles of a triangle =${180}^{\circ }$

Let angles be 3x, 4x,5x

Sum of angles =3x+4x+5x=12x

$\therefore$ Smallest angle =$\frac{180\times 3x}{12x}={45}^{\circ }$