Question

Could someone help me solve this problem?

Answer 1

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)

Answer 2

Answer:

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

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.

• $A+B+C=180$
• $(x+4)+(x)+(x+2)=180$

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:

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