# Prove that adjacent angles around a point and covering an entire plane add up to 360.

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Prove (using angle,ray,line,plane axioms)That the sum of the measures of any set of adjacent angles about a point, whose sides and interiors cover the entire plane is 360.

Â© BrainMass Inc. brainmass.com November 24, 2022, 11:37 am ad1c9bdddfhttps://brainmass.com/math/geometry-and-topology/adjacent-angles-around-point-covering-entire-plane-9370

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Problem: Prove that adjacent angles around a point and covering an entire plane add up to 360

Prove (using angle,ray,line,plane axioms)That the sum of the measures of any set of adjacent angles about a point, whose sides and interiors cover the entire plane is 360.

Solution: ...

#### Solution Summary

That adjacent angles around a point and covering an entire plane add up to 360 is proven using anle, ray, plane, line axioms. The interiors cover the entire plane is 36 is analyzed.

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