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Q: What polygon has the interior angles of 150 degrees?

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The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150

Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.

Suppose the interior angle is x degrees. Then the exterior angle is 180 - x degrees. x = 5*(180-x) = 900 - 5x So 6x = 900 so that x = 150 degrees. So exterior angle = 30 degrees. If the polygon has n sides (and n angles) the sum of its exterior angles is 30*n But the exterior angles of a polygon add to 360 degrees So 30*n = 360 so that n = 12. ANSWER: 12 sides.

It is 150 degrees.

If the exterior angle is 30o then the shape has 360/30 = 12 sides. An interior angle = 180 - exterior angle = 180 - 30 = 150. Since the shape has 12 sides the interior angles sum to 150 x 12 = 1800o.

Related questions

30 degrees

Yes and it will have 12 equal interior angles of 150 degrees and 12 sides

The polygon will have 12 equal sides and each interior angle measures 150 degrees.

The interior angles of a regular 12-sided polygon. Total angles 90(24 -4) ie 1800 degrees ie 12 x 150

It is a 12-sided polygon, a dodecagon.The exterior angle for a polygon of n sides is 360/n.Each of the interior angles are supplementary angles (180-exterior angle).(180-150) n = 36030n = 360n = 12

Each interior angle in 12-sided polygon is 150 degrees.

Since each interior angle is 150 degrees, each exterior angle is 180-150 = 30 degrees. Therefore, the polygon has 360/30 = 12 sides.

12 The sum of a regular polygon's interior angles is always 180(n-2) where n is the number of sides. Therefore, for a regular polygon to have interior angles of 150 degrees, we use the following equation: [180(n-2)]/n=150 (180n-360)/n=150 180n-360=150n 30n=360 n=12

150 degrees

Interior angle is 150 degrees.

Exterior angles are supplementary with interior angles, so 180-30=150

Each interior angle measures 144 degrees* * * * *No! The sum of the exterior angles of a polygon is always 360 degrees - no matter how many sides, So the extrior angle of a regular dodecagon is 360/12 = 30 degrees. Since the interior and exterior angles are supplementary, the interior angle is 180-30 = 150 degrees.

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