Question

What is the value of x

Answer 1

45

Explanation:

Together, these two angles form a flat line which is 180 degrees

(x + 7) + (4x - 52) = 180

5x - 45 = 180

+ 45 + 45

5x = 225

x = 45

Answer 2

`\boxed {\boxed {\sf x=45}}`

Explanation:

The 2 angles are on a straight line, so they are supplementary and add to 180 degrees.

Set up an equation.

`(x+7)+(4x-52)= 180`

Combine like terms on the left side of the equation. The terms with the variable x and the constants can be added.

`(x+4x) + (7-52) = 180`

`5x-45=180`

We are solving for x, so we must isolate the variable. 45 is being subtracted. The inverse operation of subtraction is addition. Add 45 to both sides.

`5x-45+45=180+45`

`5x=180+45`

`5x=225`

x is being multiplied by 5. The inverse operation of multiplication is division. Divide both sides by 5.

`(5x)/(5)= (225)/(5)`

`x= (225)/(5)`

`x=45`

The value of x is 45.