find the measure of each interior angele of a regular polygon with 16 sides.

2 thoughts on “find the measure of each interior angele of a regular polygon with 16 sides.”

1. Answer:

   157.5 °

   Step-by-step explanation:

   Let the measures of each interior angle be x .

   ( Regular polygons are equiangular )

   Then the measures of each interior angles is ( 180° – x ).

   Sum of all the exterior angle is 16 × ( 180° – x )

   We know that this sum is 360°.

   Thus,( n – 2) + 180/2

   = ( 16 – 2 ) × 180/16

   = 14 × 180/16

   = 157.5°.

   the measures of each interior angle of a regular polygon of 16 side 157.5°.

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2. Answer:

   2520°

   Step-by-step explanation:

   Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ .

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