Question

If angles of a triangle are in the ratio $3:4:5$. Find the measure of each angle .

Answer 1

Given,

The ratio of three angles of a triangle $=$$3:4:5$

Let's assume three angles of a triangle are $3x$ , $4x$, $5x$ .

The sum of three angles of a triangle $=$$180°$

$3x+4x+5x=180°$

$12x=180°$

$x=\frac{180°}{12}$

$x=15°$

Therefore,

$3x=3\times 15°=45°$

$4x=4\times 15°=60°$

$5x=5\times 15°=75°$

Hence, the three angles are $45°$ , $60°$ , $75°$ .