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GRE
GRE Quantitative Reasoning Section

Comparison of Interior Angles in Decagons

Hard Geometry Polygons

Consider a polygon with 10 sides (a decagon). The interior angle of a regular decagon can be calculated using the formula:

$$ ext{Interior Angle} =\frac{(n-2) imes 180}{n} $$

where $$ n $$ is the number of sides. Calculate the measure of one interior angle of this decagon. Additionally, if a second decagon is irregular and has an interior angle measuring 144 degrees, compare the measures of the two angles.

Hint

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