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In a heptagon, the degree measures of the interior angles are x, x, x-2, x-2, x + 2, x + 2 and x + 4 degrees. What is the degree measure of the largest interior angle?

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jcherry99

Answer:

132

Step-by-step explanation:

The interior angles of a heptagon (a seven sided figure) is

(n - 2)*180

(7 - 2)*180

5 * 180

900

So everything you've listed adds to 900.

x + x + x - 2+ x - 2+x + 2 +x+ 2 +  x+4 = 900

The largest angle is x + 4

After collecting like terms we get

7x + 4 = 900                   Subtract 4 from both sides.

7x + 4-4 = 900 - 4           Collect like terms.

7x = 896                          Divide by 7

7x/7 = 896/7

x = 128

The largest angle = 128 + 4 = 132

theneedhelpkidbadly1

The answer is 132 and I hope that helps you have a great day or night

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