geometru polygon sides

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francoisph: Master | Next Rank: 500 Posts; Posts: 124; Joined: Sun Mar 07, 2010 3:15 pm; Thanked: 1 times

by francoisph » Thu Jun 17, 2010 2:27 am

If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?

could you explain clearly please?

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Source: Beat The GMAT — Problem Solving | Thu Jun 17, 2010 2:27 am

kvcpk: Legendary Member; Posts: 1893; Joined: Sun May 30, 2010 11:48 pmFollowed by: 7 members; Thanked: 215 times

by kvcpk » Thu Jun 17, 2010 2:30 am

francoisph wrote:If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?

could you explain clearly please?

Again a formula..

Sum of interior angles of a regula polygon is 180(n-2)

180(n-2) = 1440
so n=10

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