Answer:
12 sides
Step-by-step explanation:
Given
Sum of interior angle = 1800 degrees
Required
Number of sides of the polygon
The sum of interior of a convex polygon is calculated using the following formula:
Sum = (n - 2) * 180
Where n is the number of sides of the polygon.
By substituting 1800 for Sum, we have
[tex]1800 = (n - 2) * 180[/tex]
Divide through by 180
[tex]\frac{1800}{180} = \frac{(n - 2) * 180}{180}[/tex]
[tex]10 = n - 2[/tex]
Add 2 to both sides
[tex]10 + 2 = n - 2 + 2[/tex]
[tex]12 = n[/tex]
Re order
[tex]n = 12[/tex]
Hence, the number of sides of the polygon is 12
