Answer :
Answer:
[tex]\huge\boxed{x=17}[/tex]
Step-by-step 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.
[tex](5x-18) + (4x+45) = 180[/tex]
Combine like terms:
[tex]9x + 27 = 180[/tex]
Subtract 27 from both sides:
[tex]9x = 153[/tex]
Divide both sides by 9:
[tex]x = 17[/tex]
So x = 17.
Hope this helped!
Answer: x = 17
Step-by-step 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!