SOLUTION: A polygon has three of its interior angles to be 160 each and others are 120 each. calculate the number of sides of the polygon

Algebra.Com
Question 972910: A polygon has three of its interior angles to be 160 each and others are 120 each. calculate the number of sides of the polygon
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
= number of sides of the polygon ---> = number of angles of the polygon
= number of angles of the polygon measuring
= number of angles of the polygon measuring
= sum of the measures of all the interior angles of the polygon.
Since the sum of the measures of all the interior angles of a polygon with sides is
,

All we have to do no is solve for the equation above.
Writing it without the degree symbols, it is








It is an octagon, and it could look like this:
, but there are other possible shapes.

RELATED QUESTIONS

A polygon has three of its interior angles to be 120 each and others are 150 each.... (answered by ikleyn)
A polygon has two of its interior angles to be 120 each and others are 150 each.... (answered by ikleyn)
A polygon has two interior angles of 120 degrees each and the others are 150... (answered by Plocharczyk,ikleyn,MathTherapy)
A polygon has 2 interior anglesof 120 degrees each.and the others are each 150 degree... (answered by Alan3354)
A polygon has two interior angles of 120° each and others are each 150°. Calculate The... (answered by ikleyn)
If one of the interior angles of a polygon is 260° and the remaining interior angles are... (answered by KMST)
A polygon has m sides. If one of its interior angles is 80 degrees, and the other... (answered by jim_thompson5910)
One third of a polygon's interior angles are 150°, another third are 140° and the others... (answered by Alan3354,Boreal,greenestamps)
A polygon has six interior angles. It has two angles measuring 160° each, two interior... (answered by Alan3354)