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What is the sum of the interior angle measures of a polygon that has 7 sides? Sum \( =[?]^{\circ} \)

Ask by Dickson Fleming. in Honduras
Dec 15,2024

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Answer

Sum \( = 900^\circ \)

Solution

The sum of the interior angle measures of a polygon can be calculated using the formula: \[ \text{Sum} = (n - 2) \times 180^\circ \] where \( n \) is the number of sides of the polygon. For a polygon with 7 sides (\( n = 7 \)): \[ \text{Sum} = (7 - 2) \times 180^\circ = 5 \times 180^\circ = 900^\circ \] Thus, the sum of the interior angle measures of a polygon that has 7 sides is \[ \text{Sum} = 900^\circ \]

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The sum of the interior angle measures of a polygon can be found using the formula \( (n - 2) \times 180 \), where \( n \) is the number of sides. For a polygon with 7 sides, we substitute \( n \) with 7: \[ (7 - 2) \times 180 = 5 \times 180 = 900^{\circ}. \] So, the sum of the interior angle measures of a 7-sided polygon, or heptagon, is \( 900^{\circ} \). Did you know that the heptagon is quite a rare architect's shape? It often appears in complex designs and some art forms but is not as commonly used as squares or rectangles! It adds an interesting twist to structures with its angles and form. Also, want to rise to the challenge? Try calculating the sum of the interior angles for different polygons such as a pentagon (5 sides) or an octagon (8 sides). You’ll see how quickly the angles add up!

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