Q:

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?

Accepted Solution

A:
Answer:132Step-by-step explanation:The interior angles of a heptagon (a seven sided figure) is(n - 2)*180(7 - 2)*1805 * 180900So everything you've listed adds to 900.x + x + x - 2+ x - 2+x + 2 +x+ 2 +  x+4 = 900The largest angle is x + 4After collecting like terms we get7x + 4 = 900                   Subtract 4 from both sides.7x + 4-4 = 900 - 4           Collect like terms.7x = 896                          Divide by 77x/7 = 896/7x = 128The largest angle = 128 + 4 = 132