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because that's all the degrees that three sides of any length put together (a triangle) can hold- any less and it wouldn't even be a polygon, and any more and it would have to have more sides

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Q: Why is the sum of a triangle's measures 180 degrees?
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Related questions

What is the sum of the angle measures in a regular hexagon?

A hexagon has 6 triangles inside of it. If one triangle equals 180 degrees and there are 6 triangles. 180 degrees *6 triangles=1080 degrees.


What is the relationship between the number of triangles and the sum of the angle measures of the polygon?

In a polygon with n sides, the sum of the interior angles is given by (n-2) * 180 degrees. Each triangle has interior angle sum of 180 degrees. Therefore, the number of triangles that can be formed in a polygon is equal to (n-2) * 180 / 180, which simplifies to (n-2). In other words, the number of triangles is two less than the number of sides in the polygon.


Is the sum of the measures of the angles is 180 degrees?

In a triangle, the sum of the measures of the angles is 180 degrees.


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180 degrees.


What is the measure of the third angle of a triangle if one angle measures 45 degrees and the other measures 85 degrees?

Since the sum of a triangles angles equals 180, 180-45-85=50. The angle is 50 degrees.


if the sum of the measures of two angles is 180 degrees the angels are?

Supplementary


Two angles with measures that have a sum of 180 degrees?

SUPPLEMENTARY ANGLES are two angles the sum of whose measures is 180 degrees.


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Not possible because all triangles have a total sum of 180 degrees interior angles.


Do all triangles have the same sum of their angles?

Yes, all triangles have the sum of their angles as 180 degrees.


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180 degrees. Hope I helped :)