asked 60.9k views
3 votes
The sum of the interior angle measures of a convex polygon is 1620° . how many sides does it have?the sum of the interior angle measures of a convex polygon is 1620° . how many sides does it have?

asked
User Ozge
by
8.1k points

2 Answers

6 votes
no. of sides
=1620/180+2
=11
answered
User RominaV
by
8.8k points
4 votes
If you are given a convex polygon with
n sides and
S is the sum of the measures of the interior angles then
S = 180(n - 2).

So,

1,620 = 180(n-2).

n-2=9

n=11

The polygon has 11 sides.
answered
User Mansu
by
7.5k points
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