Question

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?

Answer 1

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

Answer 2

132

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