Find the sum of the interior angles of a regular hexagon and hence the size of each interior angle

 (a) 720°,  (b)  120°

Step-by-step explanation:

A hexagon is a polygon with six sides.

Formula for finding the interior angle of a polygon = ( 2n - 4 )complementary

                                                                                    = ( 2n - 4 ) 90

complimentary angle is 90°  or

                                                                                     = ( n - 2 )supplementary

supplementary angle is 180° . Now solving the question now since n = 6

we now put it in any of the formula above

       ( 2 x 6 - 4 ) x 90  =  ( 12 - 4 ) x 90

                                   =   8 x 90

                                   = 720°     or

     ( 6 - 2 ) x 180        =  4 x 180

                                  = 720°.

The second part of the question, each size of the interior angle

                                  = ⁷²⁰/₆

                                  = 120°

cosine

step-by-step explanation:

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