The sum of the interior angles of a triangle is 180, of a quadrilateral is 360 and of a pentagon is 540. Assuming this pattern continues, find the sum of the interior angles of a dodecagon (12 sides).
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Step-by-step explanation:
number of sides in a traiangle=3
sum of all angles of triangle=180
one side of triangle=180/3
=60
number of sides of quadrilateral=4
sum of all angles of quadrilateral=360
one side of quadrilateral=360/4
=90
number of sides of pentagon=5
sum of all the angles of pentagon=540
one side of pentagon=108
number of sides in dodecagon=12
sum of all the angles of dodecagon=1800
each angle of dodecagon=150
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