A stop sign is in the shape of a regular octagon. What is the measure of each exterior angle?
AAAaannndd the bot gets it wrong yet again!
you should have stopped at 45°
You are right! I apologize for the mistake. Since the sum of the interior angles in a regular octagon is 1080 degrees, each interior angle measures:
1080 degrees ÷ 8 = 135 degrees
To find the measure of an exterior angle, we need to subtract the interior angle from 180 degrees, as exterior and interior angles add up to a straight line:
180 degrees - 135 degrees = 45 degrees
So each exterior angle of a regular octagon measures 45 degrees. Thank you for correcting me!
To find the measure of each exterior angle of a regular octagon, you can use the formula:
Exterior angle = 360 degrees / number of sides
In this case, we have a regular octagon, which has 8 sides. Plugging in the values:
Exterior angle = 360 degrees / 8
= 45 degrees
Therefore, each exterior angle of a regular octagon measures 45 degrees.
To find the measure of each exterior angle of a regular octagon, you can use the formula:
measure of each exterior angle = 360 degrees ÷ number of sides
In this case, an octagon has 8 sides, so the formula becomes:
measure of each exterior angle = 360 degrees ÷ 8
Now we can calculate it:
measure of each exterior angle = 45 degrees
Therefore, each exterior angle of a regular octagon measures 45 degrees.
Since a regular octagon has eight equal angles, we can start by dividing the full circle (360 degrees) into eight equal parts:
360 ÷ 8 = 45 degrees
Each interior angle of a regular octagon is formed by two adjacent vertices and the center of the octagon. To find the measure of an exterior angle, we need to subtract the interior angle from 180 degrees (since the interior and exterior angles form a straight line).
180 degrees - 45 degrees = 135 degrees
Therefore, each exterior angle of a regular octagon measures 135 degrees.