If a polygon has 8 sides, what is the measure of each interior angle in a regula

If a polygon has 8 sides, what is the measure of each interior angle in a regular octagon?

If a polygon has 8 sides, what is the measure of each interior angle in a regular octagon?

Step 1: Identify the number of sides in the polygon. For an octagon, n = 8.
Step 2: Use the formula for calculating the measure of each interior angle of a regular polygon: [(n-2) * 180] / n.
Step 3: Substitute the value of n into the formula: [(8-2) * 180] / 8.
Step 4: Calculate (8-2) which equals 6.
Step 5: Multiply 6 by 180 to get 1080.
Step 6: Divide 1080 by 8 to find the measure of each interior angle: 1080 / 8 = 135.
Step 7: Conclude that each interior angle in a regular octagon measures 135 degrees.

Interior Angles of Polygons – Understanding how to calculate the measure of interior angles in regular polygons using the formula.
Regular Polygons – Recognizing the properties of regular polygons, where all sides and angles are equal.