How many degrees are in a hexagon?
Understand the Problem
The question is asking for the total interior angle measure of a hexagon. To find this, we will use the formula for the sum of interior angles of a polygon, which is (n-2) * 180, where n is the number of sides.
Answer
720 degrees
Answer for screen readers
The total measure of the interior angles of a hexagon is 720 degrees.
Steps to Solve
- Identify the number of sides in the hexagon
A hexagon has 6 sides.
- Use the formula for the sum of interior angles
The formula for the sum of the interior angles of a polygon is $ (n-2) \times 180^{\circ} $, where $ n $ is the number of sides.
- Substitute the number of sides into the formula
For a hexagon, $ n = 6 $:
$$ (6-2) \times 180^{\circ} = 4 \times 180^{\circ} = 720^{\circ} $$
The total measure of the interior angles of a hexagon is $ 720^{\circ} $.
The total measure of the interior angles of a hexagon is 720 degrees.
More Information
A hexagon is a six-sided polygon. The interior angles always add up to 720 degrees regardless of whether the hexagon is regular or irregular.
Tips
A common mistake is forgetting to subtract 2 from the number of sides before multiplying by 180 degrees in the formula.
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