Question

The ratio of the measures A and B of a triangle ABC is $3:2$. The ratio of the measures of B and C is $4:5$. Find the measure of largest angle of the triangle ABC.

Answer 1

$A:B=3:2,B:C=4:5,A:B:C=6:4:5.$

actual values $6x,4xand5x$. So $6x+4x+5x=180,15x=180$

$\therefore x=12$.

So angles are $6\left(12\right)=72,4\left(12\right)=48$ and $5\left(12\right)=60$

$\therefore$ Largest angle$={72}^0$