Question

the sum of angles of two regular polygons is 1980 degrees .then,the total number of sides of then is

Answer 1

the answer would be 13 sides

Answer 2

Answer:

The total number of sides in this polygon is 13

Step-by-step explanation:

Here, Say n is the total number of sides in the polygon

Sum = (n - 2) × 180°

Sum = 1980°

1980° = (n - 2) × 180°

[Now you transpose 1980 to the RHS and bring (n - 2) to the LHS]

[When you transpose, the mathematical symbol (×) turns into (÷)]

(n - 2) = 1980° ÷ 180°

(n - 2) = 11°

[ Now you transpose 2 to the RHS]

[When you transpose, the mathematical symbol (-) turns into (+)]

n = 11 + 2

n = 13

∴ The total number of sides in this polygon is 13