SOLUTION: three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520.find each of the other angles if they are equal to each other.

Algebra.Com
Question 557778: three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520.find each of the other angles if they are equal to each other.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees.
For a polygon whose angles add up to 2520 degrees,
--> --> -->
We know the measure of 3 of the 16 angles. We have to find the measure of
16-3=13 angles.
If 3 of the angles measured 105.5 degrees, and the 13 remaining angles measure x degrees,
--> --> --> --> -->
The 13 remaining angles measure 169.5 degrees.

RELATED QUESTIONS

three interior angles of a polygon are 160degres each.if the other interior angles are... (answered by rothauserc,MathTherapy)
one of the angles of a polygon is 100° and each of the other angles is 110°. find the... (answered by Alan3354)
If one of the interior angles of a polygon is 260° and the remaining interior angles are... (answered by KMST)
1.) two angles of a quadrilateral are congruent and each of their measures is 110. what (answered by stanbon)
Three interior angles of of a polygon are 150 each. If the remaining exterior is 45. Find (answered by Alan3354)
The sum of the angles of any four sided polygon is 360. If the measures the angles of a... (answered by Alan3354)
A polygon has two interior angles of 120° each and others are each 150°. Calculate The... (answered by ikleyn)
Three angles of a polygon are 125°,140°and 160°.The remaining angles are... (answered by Alan3354)
A polygon has n sides.If one of its interior angles is 84° and the other interior angles... (answered by Edwin McCravy)