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

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

Options:

144 degrees
120 degrees
108 degrees
135 degrees

Correct Answer: 144 degrees

Exam Year: 2023

Solution:

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

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

Practice Questions

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

144 degrees
120 degrees
108 degrees
135 degrees

Questions & Step-by-Step Solutions

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

Step 1: Identify the number of sides in the polygon. A decagon has 10 sides.
Step 2: Use the formula for finding the measure of each interior angle in a regular polygon: [(n-2) * 180] / n.
Step 3: Substitute the number of sides (n) into the formula. Here, n = 10.
Step 4: Calculate (n-2). For n = 10, (10-2) = 8.
Step 5: Multiply the result from Step 4 by 180. So, 8 * 180 = 1440.
Step 6: Divide the result from Step 5 by the number of sides (n). So, 1440 / 10 = 144.
Step 7: Conclude that each interior angle in a regular decagon measures 144 degrees.

Interior Angles of Polygons – Understanding how to calculate the measure of interior angles in regular polygons using the formula.
Regular Decagon Properties – Recognizing the specific properties and characteristics of a decagon, including its number of sides.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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