Question

The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

Answer 1

`x=44`

Explanation:

`"the sum of the angles in a triangle "=180^@`

`"add the 3 given angles and equate to 180"`

`x+4+x+2x=180`

`rArr4x+4=180`

`"subtract 4 from both sides"`

`4xcancel(+4)cancel(-4)=180-4`

`rArr4x=176`

`"divide both sides by 4"`

`(cancel(4) x)/cancel(4)=176/4`

`rArrx=44`

`"the 3 angles in the triangle are therefore"`

`x=44^@,x+4=44+4=48^@,2x=2xx44=88^@`

`"note that "44+48+88=180^@`

Answer 2

`x = 44°`

Explanation:

Angles in a triangle `= 180°`

So

`(x + 4°) + (x) + (2x) = 180°`

`4x + 4° = 180°`

`4x = 176°`

`x = 44°`