Find the measures of each interior angle of a 15agon.
how would u find the meaures?
the sum of all the angles in a regular n-gon is 180(n-2)
so each angle is 180(n-2)/n
so for a 15-gon each angle is 180(13)/15
= 156 degrees.
To find the measures of each interior angle of a 15-gon (a polygon with 15 sides), you can use the formula:
Interior Angle = (180 * (n – 2)) / n
Where 'n' is the number of sides of the polygon.
In this case, for a 15-gon, you would substitute n = 15 into the formula:
Interior Angle = (180 * (15 – 2)) / 15
= 180 * 13 / 15
= 2340 / 15
= 156
Therefore, each interior angle of a 15-gon measures 156 degrees.