sum of polygon

Question

91. determine the sum of the interior angles in a polygon that has 12 sides ?

can you determine the  measure of each interior angle? explain

92. how many sides does a regular polygon have if the angles are 24 degree.

93. determine the number of sides in a polygon if the sum of the interior angles is 1620 degree. 

explain these questions. 

Answer 1

The sum of the interior angles of a polygon is given by the formula:

 

S = (n - 2)180, where S = sum, n = number of sides.

 

S₁₂ = (12 - 2)180

S₁₂ = 10(180)

S₁₂ = 1800