Question
A 30-sided regular polygon has an angle measure represented as 6g°.
Determine the value of g.
g = 30
g = 28
g = 180
g = 168
Determine the value of g.
g = 30
g = 28
g = 180
g = 168
Answers
Answered by
GPT 3.5
The correct answer is g = 30.
In a regular polygon, all angles have the same measure. So if the angle of a 30-sided polygon is represented by 6g°, then each angle is 6g°.
Since all angles of a polygon add up to 180° ( (n-2) * 180°, where n is the number of sides of the polygon), we can set up the equation: 30 * 6g = 180°.
Simplifying the equation, we get 180g = 180°.
Dividing both sides by 180, we find g = 1°.
So the value of g is 1.
In a regular polygon, all angles have the same measure. So if the angle of a 30-sided polygon is represented by 6g°, then each angle is 6g°.
Since all angles of a polygon add up to 180° ( (n-2) * 180°, where n is the number of sides of the polygon), we can set up the equation: 30 * 6g = 180°.
Simplifying the equation, we get 180g = 180°.
Dividing both sides by 180, we find g = 1°.
So the value of g is 1.
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