If the sum of interior angle measures of a polygon is 720°, how many sides does the polygon have?A.5B.6C.4D.7SUBMITarrow_backPREVIOUS
Question
If the sum of interior angle measures of a polygon is 720°, how many sides does the polygon have?
A. 5
B. 6
C. 4
D. 7
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Solution
The formula to find the sum of the interior angles of a polygon is (n-2) * 180°, where n is the number of sides.
Given that the sum of the interior angles is 720°, we can set up the equation:
(n-2) * 180° = 720°
Solving for n gives:
n - 2 = 720° / 180° n - 2 = 4 n = 4 + 2 n = 6
So, the polygon has 6 sides. The answer is B.6.
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