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Answer:
Equivalent equation of is
And the number of sides does a polygon have is, n =9.
Step-by-step explanation:
Given:
The sum of the interior angles, 's' in a n-sided polygon can be determined
using the formula is: .....[1]
where n is the number of sides.
We can write the equivalent equation of [1]
Divide both sides by 180;
Simplify:
Add 2 to both sides of an equation:
Simplify, we get;
......[2]
Now, to find the value of n ;
Given: s =1260°
Substitute this value in [2] we get;
or
n = 7+2 =9
Therefore, the number of sides in a polygon is, n=9