__________ is the sum of interior angles of a convex polygon with 8 sides.
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An octagon has 8 sides. So n = 8, and n - 2 = 6. The exterior angle of a polygon and its corresponding interior angle always add up to 180° . For any polygon, the sum of its exterior angles is 360°.
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1080°
1080° is the sum of interior angles of a convex polygon with 8 sides.
- The formula 180(n - 2), where n is the number of sides in the polygon, is used to calculate the sum of the interior angles in a regular polygon. The sum of the angles in an octagon, which has eight sides, is 180(8 - 2) = 180(6) = 1080 degrees.
- All of the octagon's sides and angles are congruent because it is a regular shape. The sum of each angle's angles divided by eight gives each angle its measurement. As a result, the polygon's angles are each 1080/8 = 135 degrees in length. This indicates that the measure of angle FHG is 135 degrees.
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