Find the measure of each interior angle of a regular polygon of ^@10^@ sides.


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Answer:

^@ 144 ^ \circ ^@

Step by Step Explanation:
  1. We know that the sum of all exterior angles of a polygon is ^@360 ^ \circ.^@
  2. Each exterior angle of a regular polygon of ^@10^@ sides ^@= { \Bigg ( \dfrac{ 360 } { 10 } \Bigg ) } ^ \circ = 36 ^ \circ.^@
  3. Thus, each interior angle of a regular polygon of ^@10^@ sides ^@ = 180 ^ \circ - 36 ^ \circ = 144 ^ \circ ^@.

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