Prove that the sum of the interior angles of a pentagon is 540,
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We have formula sum of angles of polygon =(n-2)×180°
So Pentagon has three sides
Therefore
Sum of angles =(5-2)×180°=540°
So Pentagon has three sides
Therefore
Sum of angles =(5-2)×180°=540°
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Regular pentagons where all the sides and angles are the same will have a sum of interior angles of 540 degrees. ... Remember, the 3 angles of any triangle always add up to 180 degrees. So if you have three triangles making up your pentagon, then your angles will always add up to 540 degrees (3 * 180 degrees).
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