If a polygon has 10 sides, what is the measure of each interior angle in a regul

₹0.0

Question: If a polygon has 10 sides, what is the measure of each interior angle in a regular polygon? (2023)

Options:

Correct Answer: 144 degrees

Exam Year: 2023

Solution:

The measure of each interior angle in a regular polygon can be calculated using the formula [(n-2) * 180] / n. For n=10, it is 144 degrees.

If a polygon has 10 sides, what is the measure of each interior angle in a regular polygon? (2023)

If a polygon has 10 sides, what is the measure of each interior angle in a regular polygon? (2023)

Step 1: Identify the number of sides in the polygon. In this case, the polygon has 10 sides (n = 10).
Step 2: Use the formula for calculating the measure of each interior angle in a regular polygon, which is [(n - 2) * 180] / n.
Step 3: Substitute the value of n into the formula. So, we have [(10 - 2) * 180] / 10.
Step 4: Calculate (10 - 2) which equals 8.
Step 5: Multiply 8 by 180. This gives us 1440.
Step 6: Divide 1440 by 10 to find the measure of each interior angle. So, 1440 / 10 equals 144.
Step 7: Therefore, each interior angle in a regular polygon with 10 sides measures 144 degrees.

Interior Angles of Polygons – Understanding how to calculate the measure of each interior angle in a regular polygon using the formula.
Regular Polygons – Recognizing the properties of regular polygons, where all sides and angles are equal.
Mathematical Formulas – Applying the formula for calculating interior angles, specifically for polygons with a given number of sides.