Question 10 of 10
If a shape is a regular pentagon with five sides, which of the following must be true?
Answer
Final Answer: Each side of a regular pentagon is of equal length and each interior angle of a regular pentagon is \(\boxed{108}\) degrees.
Step 1 ：A regular pentagon has five sides of equal length.
Step 2 ：It also has five interior angles that are each 108 degrees.
Step 3 ：This is because the sum of the interior angles of any polygon is given by the formula \((n-2)*180\), where n is the number of sides.
Step 4 ：For a pentagon, this gives \((5-2)*180 = 540\) degrees.
Step 5 ：Since a regular pentagon has all angles equal, each angle must be \(540/5 = 108\) degrees.
Step 6 ：Final Answer: Each side of a regular pentagon is of equal length and each interior angle of a regular pentagon is \(\boxed{108}\) degrees.
