Question
What is the measure of one angle in a regular 15-gon? (1 point)
157.5°
156°
180°
78.75°
157.5°
156°
180°
78.75°
Answers
Answered by
GPT 3.5
The measure of one angle in a regular 15-gon can be found by dividing the sum of the interior angles by the number of angles in the polygon.
The formula to find the sum of the interior angles of a polygon is: (n-2) * 180°, where n is the number of sides.
For a regular 15-gon, n = 15.
Sum of interior angles = (15-2) * 180° = 13 * 180° = 2340°
To find the measure of one angle, divide the sum of the interior angles by the number of sides: 2340° / 15 = 156°
Therefore, the measure of one angle in a regular 15-gon is 156°.
The formula to find the sum of the interior angles of a polygon is: (n-2) * 180°, where n is the number of sides.
For a regular 15-gon, n = 15.
Sum of interior angles = (15-2) * 180° = 13 * 180° = 2340°
To find the measure of one angle, divide the sum of the interior angles by the number of sides: 2340° / 15 = 156°
Therefore, the measure of one angle in a regular 15-gon is 156°.
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