At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Any polygon with interior angles that add up to 540 must have 5 sides and 5 corners (a pentagon). Assuming it is a regular pentagon, you need to work out what 1/5 of 540 is, which is the same as dividing it by 5. 540/5 = 108. this is the number of degrees in one interior angle of a regular pentagon.
The number of degrees in one interior angle of the polygon is 108 degrees.
What is the polygon?
A polygon is a closed two-dimensional shape having straight line segments. It is not a three-dimensional shape.
Sum of interior angles of a polygon with n sides IS;
[tex]\rm (n-2)\times 180[/tex]
Sum of interior angles of a polygon = 540°
Equating both we can determine the number of sides
[tex]\rm (n-2)\times 180=540\\\\n-2=\dfrac{540}{180}\\\\ n-2=3\\\\n=3+2\\\\n=5[/tex]
There are 5 sides in the polygon and the sum of the interior angles of a polygon is 540.
The number of degrees in one interior angle of the polygon is;
[tex]=\dfrac{540}{5}\\\\=108[/tex]
Hence, the number of degrees in one interior angle of the polygon is 108 degrees.
Learn more about interior angles here;
https://brainly.com/question/10638383
#SPJ2
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.