Respuesta :

Answer:

3x+6

Step-by-step explanation:

All triangles are equal to 180 so it'll be set up as such:

x + (x+4) + (x+2) = 180

x + x + 4 + x +2 = 180

3x + 6 =180

and then simplify to get x

3x + 6 - 6 = 180 - 6

3x = 174

x=29

Then plug it into the angle measure you're trying to find

For angle c: (29 + 2)

Supernova

Answer:

[tex]\boxed{x=58}[/tex] & [tex]\boxed{m \angle C = 60}[/tex]

Step-by-step explanation:

You need to find x first in order to find the measure of angle C. To solve for x, we will use the fact that interior angles of a triangle have angle measurements that add up to 180 degrees.

Using this knowledge, we can create an equation where angles A, B, and C add up to equal 180.

  • [tex]A+B+C=180[/tex]
  • [tex](x+4)+(x)+(x+2)=180[/tex]

Combine like terms on the left side of the equation.

  • [tex]3x + 6 = 180[/tex]

Subtract 6 from both sides of the equation.

  • [tex]3x=174[/tex]

Divide both sides of the equation by 3.

  • [tex]x=58[/tex]

Now that you've found the value of x, you can use this value to plug into the expression for angle C.

  • [tex]C=x+2[/tex]
  • [tex]C=(58)+2[/tex]
  • [tex]C=60[/tex]

Therefore, the final answer is:

[tex]x=58\ \text{and} \ m \angle C = 60[/tex]

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