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GRE
GRE Quantitative Reasoning Section

Comparison of Interior Angles of Regular Polygons

Hard Geometry Polygons

Consider a polygon with n sides where the number of sides is greater than 3. The measure of each interior angle of a regular polygon can be calculated using the formula:

$$(n - 2) \times 180^\circ$$

Now, if we consider two regular polygons: Polygon A with 8 sides and Polygon B with 12 sides, we want to compare the measure of one interior angle from each:

For Polygon A, the measure of one interior angle is:

$$(8 - 2) \times 180^\circ / 8$$

For Polygon B, the measure of one interior angle is:

$$(12 - 2) \times 180^\circ / 12$$

Determine the relationship between the measures of the interior angles of Polygon A and Polygon B.

Hint

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