If the sum of all the interior angles of a regular polygon is 1800 degrees, how many sides does the polygon have?
Question
If the sum of all the interior angles of a regular polygon is 1800 degrees, how many sides does the polygon have?
Solution
The sum of all the interior angles of a polygon is given by the formula (n-2) * 180 degrees, where n is the number of sides of the polygon.
In this case, we know that the sum of all the interior angles is 1800 degrees. So we can set up the equation:
(n-2) * 180 = 1800
Solving for n, we get:
n - 2 = 1800 / 180 n - 2 = 10 n = 10 + 2 n = 12
So, the polygon has 12 sides.
Similar Questions
If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
How many sides does a polygon have if each of its interior angles measures 156°?
Exterior angle of a regular polygon is equal to interior angle. Find number of sides in polygon
The measure of an interior angle of a regular polygon is 156°. Find the number of sides in the polygon.
What is the sum of the interior angles of a 10-sided regular polygon?Question 10Select one:a.1,800°b.360°c.1,004°d.1,440°
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.