Question

find the number of sides in a polygon if the sum of interior angle is 16 right angles

Answer 1

Given-  sum of interior angles = 16 right angles= 16*90=1440
As we know

Sum of interior angles of any polygon = (2n - 4)*90

=> (2n - 4)*90= 16*90 (given)
=> 2n-4 =16
=> 2n= 20
Hence, n= 10
Total  number of sides in a polygon =10

if it helped you.. mark it as brainlist answer !!

Answer 2

Hi friend !!

Thanks for the question !!

Given that there is a polygon whose sum of interior angles equals to 16 right angles.

Hence the sum of interior angles = 16 × 90

= 1440°

We know that for calculating the Sum of interior angles there is a formula.

Sum of all interior angles = ( n - 2 ) × 180°

Here " n " = Number of sides for that polygon.

So we know that,

Sum = 1440°

n = ?

Substituting them in the formula we get,

= 1440° = ( n - 2 ) × 180°

=> 1440° / 180° = n - 2

=> 8 = n - 2

=> n = 8 + 2 = 10

Hence the number of sides = 10 sides

Hence it is a 10 sided polygon.

Hope my answer helped !!

Cheers !!