find the measure of each interior angle of a regular dodecagon.
Find the measure of each interior angle of a regular dodecagon
Answer:
To find the measure of each interior angle of a regular dodecagon, we can use the formula:
\text{Interior Angle} = \frac{(n-2) \times 180}{n}
where ( n ) is the number of sides of the polygon.
For a regular dodecagon, which has 12 sides, we can substitute ( n = 12 ) into the formula:
\text{Interior Angle} = \frac{(12-2) \times 180}{12} = \frac{10 \times 180}{12} = \frac{1800}{12} = 150^\circ
Therefore, each interior angle of a regular dodecagon measures 150^\circ .
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