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What is the measure of each interior angle of a regular pentagon?
Practice Questions
Q1
What is the measure of each interior angle of a regular pentagon?
108 degrees
120 degrees
90 degrees
135 degrees
Questions & Step-by-Step Solutions
What is the measure of each interior angle of a regular pentagon?
Steps
Concepts
Step 1: Identify the number of sides in a pentagon. A pentagon has 5 sides.
Step 2: Use the formula for finding the measure of each interior angle of a regular polygon: [(n-2) × 180] / n.
Step 3: Substitute the number of sides (n) into the formula. For a pentagon, n = 5.
Step 4: Calculate (n-2). This is 5 - 2 = 3.
Step 5: Multiply the result from Step 4 by 180. This is 3 × 180 = 540.
Step 6: Divide the result from Step 5 by the number of sides (n). This is 540 / 5 = 108.
Step 7: Conclude that each interior angle of a regular pentagon measures 108 degrees.
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