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What is the sum of the measures of the interior angles of this polygon?​

What is the sum of the measures of the interior angles of this polygon?​-example-1

2 Answers

4 votes

Answer:

540

Explanation:

User Nelaaro
by
8.1k points
3 votes

Answer:

540 degrees

Explanation:

We can find the sum of the interior angles by using the formula (n - 2) * 180.

n: represents the total number of angles in the polygon

We can determine that polygon contains 5 angles, which means you would substitute the n variable with. Then you would simply follow the order of operation (ex: parentheses first, multiplication next, etc.) to find our answer.

(5 - 2) * 180

Solve the contents inside the parentheses first, as mentioned above.

(5 - 2) * 180

(5 - 2) = 3

So, we are left with

3 * 180

Now you'd multiply 3 * 180 and the product of that represents the sum of the measures of the interior angles of the polygon.

3 * 180 = 540

In conclusion, the sum of the measures of the interior angles is 540 degrees.

User Patrick Klein
by
8.1k points

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