Respuesta :

[tex]x+100+3x=180\\4x=80\\x=20[/tex]

[tex]\text{Hey there!}[/tex]

[tex]\text{Note: This line/triangle have a degree of 180}[/tex]

[tex]\text{Firstly, you have to set up your equation, which is:}[/tex] [tex]\text{x + 100 + 3x =180}[/tex]

[tex]\text{Next, COMBINE your like terms: x + 3x}[/tex]

[tex]\text{x + 3x = 4x (Side note: the x by itself is equal to a(n) invisible 1)}[/tex]

[tex]\text{100 stays the same because it doesn't have a like term}[/tex]

[tex]\text{4x + 100 = 180}[/tex]

[tex]\text{Thirdly, we have to SUBTRACT by 100 on your sides:}[/tex] [tex]\text{4x + 100 - 100}\\\text{180 - 100}[/tex]

[tex]\text{Cancel out: 100 - 100 because it equals to 0}[/tex]

[tex]\text{Keep: 180 - 100 because it helps us solve for our answer}[/tex]

[tex]\text{Our new equation becomes: 4x = 80}[/tex]

[tex]\text{Fourthly, we have to DIVIDE by 4 on each of your sides:}[/tex] [tex]\dfrac{4x}{4}=\dfrac{80}{4}[/tex]

[tex]\text{Cancel out:}\dfrac{4x}{4}\text{ because it gives us the result of 1}[/tex]

[tex]\text{Keep:}\dfrac{80}{4}\text{ because it helps us solve for our answer}[/tex]

[tex]\uparrow\text{If you solved the kept answer correctly you would have your answer for x}[/tex]

[tex]\boxed{\boxed{\bf{Answer: x = 20}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~ [tex]\frak{LoveYourselfFirst:)}[/tex]