Question

Could someone help me solve this problem?

Answer 1

3x+6

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)

Answer 2

`\boxed{x=58}` &
`\boxed{m \angle C = 60}`

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.

• 
  `A+B+C=180`
• 
  `(x+4)+(x)+(x+2)=180`

Combine like terms on the left side of the equation.

• 
  `3x + 6 = 180`

Subtract 6 from both sides of the equation.

• 
  `3x=174`

Divide both sides of the equation by 3.

• 
  `x=58`

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

• 
  `C=x+2`
• 
  `C=(58)+2`
• 
  `C=60`

Therefore, the final answer is:

`x=58\ \text{and} \ m \angle C = 60`