Question

I n a polygon, there are 6 right angles and the remaining angles are all equal to 200 degrees each. Find the number of sides of the polygon.

(pls try to help me soon..)

Answer 1

The polygon has a total of 15 sides

Explanation:

Mathematically, the sum of the interior angles of a polygon can be calculated using the formula

(n-2) 180

Now there are 6 right angles. A right angle refers to 90 degrees. 6 right angles will be 6 * 90 = 540 degrees

Now the remaining number of angles in the polygon will be n-6 with each of this equal to 200 degrees each

The total amount of the remaining angles will be 200(n-6) = 200n-1200

Now adding all the interior angles will give the sum of 180(n-2)

180(n-2) = 200n -1200 + 540

180n -360 = 200n -660

200n -180n = 660-360

20n = 300

n = 300/20

n = 15