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3 years ago

7

Does anyone know how to do this?

1 answer:

Elanso [62]3 years ago

5 0

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

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Could someone help me solve this problem?

Ann [662]

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:

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

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disa [49]

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thats the correct answer bro

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