In a regular pentagon, what is the measure of each interior angle?
Practice Questions
1 question
Q1
In a regular pentagon, what is the measure of each interior angle?
108 degrees
120 degrees
90 degrees
72 degrees
The measure of each interior angle in a regular pentagon can be calculated using the formula (n-2) * 180 / n, which results in (5-2) * 180 / 5 = 108 degrees.
Questions & Step-by-step Solutions
1 item
Q
Q: In a regular pentagon, what is the measure of each interior angle?
Solution: The measure of each interior angle in a regular pentagon can be calculated using the formula (n-2) * 180 / n, which results in (5-2) * 180 / 5 = 108 degrees.
Steps: 7
Step 1: Identify that a regular pentagon has 5 sides (n = 5).
Step 2: Use the formula for calculating the measure of each interior angle: (n - 2) * 180 / n.
Step 3: Substitute the value of n into the formula: (5 - 2) * 180 / 5.
Step 4: Calculate (5 - 2) which equals 3.
Step 5: Multiply 3 by 180 to get 540.
Step 6: Divide 540 by 5 to find the measure of each interior angle: 540 / 5 = 108.
Step 7: Conclude that each interior angle in a regular pentagon measures 108 degrees.
