Question

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

Answer 1

Since the ratio of angle is $3:4:5$.

Hence, let angles be $3x,4x,5x$.

Now, according to the angle sum property of a triangle, the sum of all angles of a triangle is ${180}^o$.

$3x+4x+5x={180}^o$

$12x={180}^o$

$x=\frac{{180}^o}{12}={15}^o$

Therefore, the first angle is, $3x=3\times {15}^o={45}^o$.

The second angle is, $4x=4\times {15}^o={60}^o$.

The third angle is $5x=5\times {15}^o={75}^o$.

Hence, all three angles have been measured.