Question

Find the number of sides in a polygon if the sum of its interior angles is 1980 degree

Answer 1

Answer:

Step-by-step explanation:

We know that sum of interior angles of a regular polygon is (n - 2) * 180.

1980 =  (n - 2) * 180.

11=n-2

n = 9

HOPE IT HELPS YOU

PLS GIVE BRAINLIEST

Answer 2

Answer:

We know that sum of interior angles of a regular polygon is (n - 2) * 180.

(1) Given sum of interior angles = 1260.

1260 = (n - 2) * 180

1260 = 180n - 360

1260 + 360 = 180n

1620/180 = n

n = 9.

Therefore the number of sides = 9.

(2) Given sum of interior angles = 1980.

1980 = (n - 2) * 180

1980 = 180n - 360

1980 + 360 = 180n

2340 = 180n

n = 2340/180

n = 13.

Therefore the number of sides = 13.

(3) Given that sum of interior angles = 3420.

3420 = (n - 2) * 180

3420 = 180n - 360

3420 + 360 = 180n

3780 = 180n

n = 3780/180

n = 21.

Therefore the number of sides = 21.

Hope this helps!

Step-by-step explanation:

please mark as brainliest