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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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