Question

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

Find the angle measures.

Answer 1

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

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`