17x+x=180 degrees as interior+exterior angle = 180 degrees.
18x=180
so x=10, this is the exterior angle.
360/10=36, this is the number of sides.
Check: 34*180/36=170 degrees which is 17 times larger than 10 so this answer is correct.
Measure them with a protractor
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
2280 :S
30 degrees
With a protractor or if you know the exterior angle then it's 180 - exterior angle = interior angle
Measure them with a protractor
It is: 180-exterior angle = interior angle because there are 180 degrees on a straight line
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
2280 :S
30 degrees
AnswerIt is Dodecagon.To find this, you have to first find the exterior angle of the polygon. Since the exterior angle of a polygon is always supplementary to the interior angle, you subtract the measure of the interior angle from 180. 180-150=30. Now You divide 360 by the measure of the exterior angle to get the number of sides of the polygon. 360/30=12. A 12-sided polygon is called a dodecagon
Very rarely.
180
Each exterior angle: 72 degrees Each interior angle: 108 degrees
If an interior angle is 55 deg, the corresponding exterior angle is 125 deg. This has nothing to do with the number of sides of the polygon (unless it is a regular polygon).
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