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28 votes
28 votes
Find the sum of the Interior angle measures of a convex 11-gon (an eleven-sided polygon).

User Mulli
by
2.6k points

2 Answers

9 votes
9 votes

Answer:

1620 degrees.

Explanation:

In a polygon the number of sides = the number of angles.

Each external angle = 360 / 11 = 32 8/11 degrees.

Each internal angle = 180 - 32 8/11 = 147 3/11 degrees

So sum = 147 3/11 * 11

= 1617 + 3

= 1620 degrees.

User Cory Walker
by
3.3k points
13 votes
13 votes

Answer:

It's 1620°

Hope it helps

Explanation:

Hint:>

( The sum of the interior angle (S),

The the sides of the polygon (n).)

Then use this formula :

S=180°(n-2)

= 180°(11-2)

= 180°(9)

= 1620°

User Catharsis
by
2.7k points