Total angles is 180 x 5 - 360o ie 540o. If the pentagon is regular (all sides equal) then each angle is 108o. If it is not regular then you need the measurement of 4 of the angles.
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a seven sided shapes interior = about 128.5 degrees
Each interior angle of a regular 24 sided polygon is 165 degrees
If it is a regular 8 sided octagon then each interior angle is 135 degrees
gg8
Exterior angle = 360/20=18 interior angle = 180 - 18 = 162 Must be regular shape