Question

The sum of interuor angel is 1440° the number of side of the polygon is

Answer 1

Answer:

n = 10

Step-by-step explanation:

The sum of interior angles of polygon :

$\implies$ $\sf{(n-2)×180 }$

$\implies$ $\sf{(n-2)×180=1440}$

$\implies$ $\sf{n-2={\Large\frac{1440}{180}} }$

$\implies$ $\sf{n-2=8 }$

$\implies$ $\sf{n=8+2 }$

$\implies$ $\boxed{\sf{n=10\:sides }}$

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