A regular octagon has 8 congruent interior angles. What is the measure of each angle?
The formula for finding the sum of a polygon's interior angles is 180(n-2), where n is the number of sides/angles.
Thus, for an octagon:
Sum of interior angles = 180(8-2)
= 180(6)
= 1080
Since the 8 angles are congruent, simply divide 1080 by 8 for the measure of each angle:
1080/8 = 135 degrees
360 / 8 = 45° for each central angle.....the other two angles of each congruent triangle are 67.5° each
The formula for finding the sum of a polygon's interior angles is 180(n-2), where n is the number of sides/angles.
Thus, for an octagon:
Sum of interior angles = 180(8-2)
= 180(6)
= 1080
Since the 8 angles are congruent, simply divide 1080 by 8 for the measure of each angle:
1080/8 = 135 degrees
Kitty has done it via formula. There is nothing wrong with that. Thanks Kitty.
CPhill hse done it very logically, he just forgot to mention that 2 of his isoscles triangle 'leg' angles adds up to one internal ocatgon angels. His answer is the same as Kitty's.
I really like how you did that Chris.