If a polygon has 8 sides, what is the sum of its interior angles?
Practice Questions
1 question
Q1
If a polygon has 8 sides, what is the sum of its interior angles?
720 degrees
1080 degrees
900 degrees
1440 degrees
The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.
Questions & Step-by-step Solutions
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Q
Q: If a polygon has 8 sides, what is the sum of its interior angles?
Solution: The sum of the interior angles of an octagon (8-sided polygon) is calculated using the formula (n-2) * 180, which gives (8-2) * 180 = 1080 degrees.
Steps: 5
Step 1: Identify the number of sides in the polygon. In this case, the polygon has 8 sides.
Step 2: Use the formula to find the sum of the interior angles, which is (n - 2) * 180, where n is the number of sides.
Step 3: Substitute the number of sides (n = 8) into the formula: (8 - 2) * 180.
Step 4: Calculate (8 - 2) which equals 6.
Step 5: Multiply 6 by 180 to find the sum of the interior angles: 6 * 180 = 1080 degrees.
