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GRE
GRE Quantitative Reasoning Section

Interior Angles of a Convex 12-Sided Polygon

Very Hard Geometry Polygons

Consider a convex polygon with the following properties:

1. The polygon has 12 sides.

2. Each interior angle is 15 degrees greater than each exterior angle.

Using these properties, calculate the measure of each interior angle of the polygon.

Recall that the sum of the exterior angles of a polygon is always $360$ degrees, and the relationship between the interior angle $A$ and exterior angle $B$ for any polygon is given by:

$$ A + B = 180 $$

Hint

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