Answered

IDNLearn.com is the place where your questions are met with thoughtful and precise answers. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

How many sides does a polygon have if the sum of its angle measures is 2700 degrees and how do you find this?

Sagot :

The number of angles equal the number of sides


The number of angles calculate: (n-2)x180°

(n-2)x180°=2700°    |divide both sides by 180°

n-2=15    |add 2 to both siedes

n=13

Answer: 13 sides.


Kate200468idn
[tex]the\ sum\ of\ angle\ measures\ is\ 2700^0\\\\(n-2)\cdot180^0=2700^0\\n-the\ number\ of\ the\ sides\ of\ the\ polygon\\\\n-2= \frac{2700}{180} \ \ \ \Rightarrow\ \ \ n-2=15\ \ \ \Rightarrow\ \ \ n=17\\\\Ans.\ 17\ sides\ of\ the\ polygon.[/tex]
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Your questions deserve precise answers. Thank you for visiting IDNLearn.com, and see you again soon for more helpful information.