Answer:
The answer is
Step-by-step explanation:
The sum of interior angles(s) of a polygon can be found by using the formula
Where n is the number of sides of the polygon
From the question
s = 900°
Substitute this value into the above formula and solve for n
That's
[tex]900 = (n - 2) \times 180 \\ 900 = 180n - 360 \\ 180n = 900 + 360 \\ 180n = 1260[/tex]
Divide both sides by 180
[tex] \frac{180n}{180} = \frac{1260 }{180} \\ [/tex]
We have the final answer as
n = 7
Therefore the polygon has 7 sides
Hope this helps you
