SOLUTION: the angles of convex pentagon are in ratio 2:3:5:9:11 find measure of each angle?
Algebra.Com
Question 1039959: the angles of convex pentagon are in ratio 2:3:5:9:11 find measure of each angle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The sum of the interior angles of any n-sided polygon is given by *180)
For the time being, I'm going to call that number 
, and I leave it to you to calculate the value of .
If the angles are proportional, then all of the angles must have a common factor in their measures. We'll call that common factor 
. So the first angle is 
, the second is 
, and so on. That means we can write:
So once you have figured out the value of S, plug it into the equation and solve for . Then calculate , , and so on. Check your work to make sure that the angles all add up to your value of
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
1.) two angles of a quadrilateral are congruent and each of their measures is 110. what (answered by stanbon)
The measure of the exterior angles of a convex pentagon are consecutive integers. find... (answered by Edwin McCravy,ikleyn)
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the... (answered by longjonsilver,khwang)
Suppose the interior angles of a convex pentagon are five consecutive numbers, find the... (answered by drglass)
How many interior angles does a undecagon have?
A. 7
B. 9
C. 11
D. 110
How... (answered by longjonsilver)
Interior angles of a pentagon are in the ratio 4:5:6:7:5.find each angles of the pentagon
(answered by Alan3354)
The measures of the angles of a particular convex quadrilateral are in the ratio... (answered by stanbon)
if four of the exterior angles of a convex pentagon measure 50, find the measure of the... (answered by solver91311)
If four of the exterior angles of a convex pentagon measure
50degrees. find the measure (answered by macston)