Question

how many sides does a regular polygon have if each of its interior angles is 144

Answer 1

may this will help u


decagon means 10 sides

 

(n-2)*180/n

 

n=10

 

=(10-2)*180/10

 

=8*180 /10

=144

 

 

 

Answer 2

u can always remember the formula of each interior angle.
which is,
$\frac{(n - 2) \times 180}{n}$
here n are the no. of sides of the polygon.
so , according to the question,
$\frac{(n - 2) \times 180}{n} = 144$
${(n - 2) \times 180} = 144n$
$180n - 360 = 144n$
$180n - 144n = 360$
$36n = 360$
$n = 10$
so there are 10 sides of the polygon