Question

the measures of the angles of a triangle are represented by 2x+15, x+20, and 3x+25. find the measures of the triangles​

Answer 1

55°, 40° and 85°

Explanation:

For a given triangle, the sum of its interior angles is equal to 180°.

Here, the interior angles are
`2x + 15, x+ 20` and
`3x +25`.

∴
`2x+15+x+20+3x+25=180\\6x+60=180\\6x=180-60\\6x=120\\x=20`

Now, plug in 20 for x and evaluate each angle.

So,
`2x+15= 2(20)+15=55`°

`x+20=20+20=40`°

`3x+25=3(20)+25=60+25=85`°

Therefore, the measures of the angles of the triangles are 55°, 40° and 85°.