Question

What is the value of x

Answer 1

Answer:

45

Step-by-step 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

Answer:

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

Step-by-step 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.

$\frac{5x}{5}= \frac{225}{5}$

$x= \frac{225}{5}$

$x=45$

The value of x is 45.