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6.1 polygons hw find the interior angle sum. sum of interior angles:

Question

6.1 polygons hw
find the interior angle sum.
sum of interior angles:

Explanation:

Step1: Recall the formula for the sum of interior angles

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides of the polygon.

Step2: Determine the number of sides of the polygon

The given polygon is a heptagon (7 - sided polygon), so \(n=7\).

Step3: Calculate the sum of interior angles

Substitute \(n = 7\) into the formula: \((7 - 2)\times180^{\circ}=5\times180^{\circ}=900^{\circ}\)

Answer:

\(900^{\circ}\)