In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?
Practice Questions
1 question
Q1
In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?
6
5
8
7
In a regular polygon, each interior angle can be calculated using the formula (n-2) * 180/n. Setting this equal to 120 degrees and solving for n gives n = 6, indicating a hexagon.
Questions & Step-by-step Solutions
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Q
Q: In a certain polygon, if one angle measures 120 degrees and the polygon is regular, how many sides does it have?
Solution: In a regular polygon, each interior angle can be calculated using the formula (n-2) * 180/n. Setting this equal to 120 degrees and solving for n gives n = 6, indicating a hexagon.
