Benny drew an octagon with two right angles. What is the sum of the measures of the other angles?
A 100 degrees
B 900 degrees
C 800 degrees
D 620 degrees
my answer is D
To find the sum of the measures of the other angles in Benny's octagon, we first need to determine how many right angles are in an octagon.
An octagon has eight sides, and the sum of the angles in any polygon can be found using the formula (n-2) * 180 degrees, where n is the number of sides. So for an octagon, the sum of the angles is (8-2) * 180 degrees = 6 * 180 degrees = 1080 degrees.
Since Benny's octagon has two right angles, we need to subtract their measures from the total sum of angles in an octagon. One right angle measures 90 degrees, so two right angles would be 90 degrees * 2 = 180 degrees.
To find the sum of the other angles, we subtract 180 degrees from the total sum of angles in an octagon: 1080 degrees - 180 degrees = 900 degrees.
Therefore, the sum of the measures of the other angles in Benny's octagon is 900 degrees. So, the correct answer is option B.