Question

Please Show Work.

Two angles create a straight line. The angles measure (5x-18)° and (4x + 45)° Find the value of x.

Answer 1

Answer: x = 17

Explanation:

Remember that supplementary angles add up to 180.

We also know that two angles create a straight line.

We have to find x in (5x-18)° and (4x + 45)°.

Now, we know that (5x-18) and (4x + 45) is 180.

Now, let's get started.

5x and 4x is equal to 9x.

Now, we have to combine the like terms.

9x + 27 = 153.

Subtract the number 153 from 180.

You get 17, so it is the answer.

Hope this helps!

Answer 2

`\huge\boxed{x=17}`

Explanation:

It's important to note that when two angles create a straight line, they are supplementary.

This means their angle measures add up to 180° since a 180° angle is a straight line.

Since we know the measures of both angles in equation form, we can add them together and have them equal 180 to solve for x.

`(5x-18) + (4x+45) = 180`

Combine like terms:

`9x + 27 = 180`

Subtract 27 from both sides:

`9x = 153`

Divide both sides by 9:

`x = 17`

So x = 17.

Hope this helped!