Question

The ratio of the measures of the three angles of a triangle is 6:9: 10.
Find the angle measures.

Answer 1

Answer:

Angles are $43.2^0,64.8^0,72^0$

Step-by-step explanation:

Sum of interior angles of triangle is $180^0$

The ratio of the measures of the three angles of a triangle is $6:9: 10$

Hence the angles can be $6x,9x,10x$

We have

$6x+9x+10x=180\\\\25x=180\\\\5x=36\\\\x=7.2\\\\6x=43.2^0\\\\9x=64.8^0\\\\10x=72^0$

Angles are $43.2^0,64.8^0,72^0$