Question

A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X

Answer 1

The sum of all 3 interior angles in a triangle is 180°.

so 3x+(2x+20)+(4x-20)=180
9x+20-20=180
9x=180
x=180/9
x=20

Answer 2

`x=20`

Explanation:

We have been a triangle has one angle measuring
`3x` degrees the second angle measures
`2x+20` degrees and the third angle measures
`4x-20` degrees. We are asked to find the value of x.

We know that all interior angles of a triangle add up-to 180 degrees.

`3x+2x+20+4x-20=180`

Combine like terms:

`3x+2x+4x-20+20=180`

`9x=180`

Divide both sides by 9:

`(9x)/(9)=(180)/(9)`

`x=20`

Therefore, the value of x is 20 for our given triangle.