Question

if one angle of the Pentagon is 120 degree. find remaining of angel is 7??​

Answer 1

Step-by-step explanation:

Given

One angle of a Pentagon = 120°

Number of sides of Pentagon n=5

Let us consider all other equal angle of Pentagon be x .

The sum of interior angle of polygon is (2n-4)×90°

The sum of the interior angle of Pentagon can be calculated as ,

(2n-4)×90°= (2×5-4) ×90°

= 6×90°

we get,

=540°

So , the sum of the interior angles of Pentagon is 540°

Now,

x + x + x + x + 120° = 540°

4x+120° = 540°

4x = 540° - 120°

4x = 420°

x = 420° / 4

x = 105 ° we get

Hence , the value of x = 105 °