the measure of each interior angle of a regular polygon is eleven times that of an exterior angle. How many sides does the polygon have?
2006-10-04 12:09:17 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
oh and please tell me how you get it. i think the correct answer is 24
2006-10-04 12:12:13 · update #1
(180(n - 2))/n = 11(360/n)
180(n - 2) = 11 * 360
n - 2 = 11 * 2
n - 2 = 22
n = 24
ANS : 24 sides
165 interior
15 exterior
the interior angle and exterior angle are supplementary.
If you go to the site below, you will see alpha(exterior) + beta(interior) = 180
2006-10-04 16:41:45 · answer #1 · answered by Sherman81 6 · 0⤊ 0⤋
12
2006-10-04 19:22:50 · answer #2 · answered by DESI MAth Wizard 3 · 0⤊ 0⤋
12
2006-10-04 19:12:19 · answer #3 · answered by a-non flip 2 · 0⤊ 0⤋
12 The interior + exterior angle has to equal 360 degrees. Therefore the interior angle must be 30 degrees and the exterior angle 320 degrees. But the sum of the interior angles also has to equal 360 degrees, so if each of them is 30 degrees, there must be 12 of them.
2006-10-04 19:11:01 · answer #4 · answered by PaulCyp 7 · 0⤊ 0⤋
No the answer is 16. The angles are 30 (interior) and 330 (exterior).
2006-10-04 19:59:42 · answer #5 · answered by Anonymous · 0⤊ 0⤋
5 sides i think
2006-10-04 19:15:23 · answer #6 · answered by Anonymous · 0⤊ 0⤋