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I assume you mean the pentadecimal polygon is regular: 156o.

For any polygon the exterior and interior angles are supplementary, that is:

interior_angle + exterior_angle = 180o

For a regular polygon:

Exterior_angle = 360o ÷ number_of_sides

Interior_angle = 180o - exterior_angle

= 180o - (360o ÷ number_of_sides)

For a pentadecimal polygon with 15 sides:

interior_angle = 180o - (360o ÷ 15)

= 156o

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Q: What is the interior angle of a pentadecimal polygon?
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