The sum of the interior angles o a regular polygon is 30 right angles. How many sides have the polygon?
For n sides, there are n-2 straight angles, or
2(n-2) right angles. So, n=17
It's good
To determine the number of sides of a polygon, we can start by understanding the sum of the interior angles of a polygon.
In general, the sum of the interior angles of a polygon can be found using the formula:
Sum of interior angles = (n - 2) * 180 degrees
Where n represents the number of sides of the polygon.
In this case, we are given that the sum of the interior angles is 30 right angles. Since one right angle measures 90 degrees, we can multiply 30 right angles by 90 degrees to convert it to degrees:
30 right angles * 90 degrees/right angle = 2700 degrees
Now, we can set up an equation using the formula for the sum of the interior angles:
(n - 2) * 180 = 2700
Let's solve this equation to find the value of n, which represents the number of sides:
n - 2 = 2700 / 180
n - 2 = 15
n = 15 + 2
n = 17
Hence, the polygon has 17 sides.