A square has 360 degrees, if you measure the degrees on the outside,

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Discussion Overview

The discussion revolves around the measurement of external angles of a square, specifically questioning the total degrees when considering overlaps in the angles. Participants explore the implications of measuring external angles and how they might interact.

Discussion Character

  • Exploratory, Debate/contested, Mathematical reasoning

Main Points Raised

  • One participant asserts that a square has 360 degrees in total when measuring the external angles.
  • Another participant calculates that each external angle of a square is 270 degrees, leading to a total of 1080 degrees for all four angles.
  • A different viewpoint suggests that due to overlaps in the external angles, the total should be reduced to 720 degrees, questioning how these overlaps affect the measurement.
  • A request for clarification on the concept of "angles canceling out" and the reasoning behind the 720-degree result is made.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as multiple competing views on the total degrees of external angles remain present, with differing calculations and interpretations of overlaps.

Contextual Notes

The discussion includes assumptions about how external angles are defined and measured, as well as the implications of overlapping angles, which are not fully resolved.

Mattius_
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A square has 360 degrees, if you measure the degrees on the outside, what degree do you get?
 
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Each external angle of a square is 270 degrees. So, the total is 270*4 = 1080 degrees.
 
thats what i came to as well, however, the outside degrees overlap each other... so sets of 90 degrees would be canceled out... in cancelling out the overlaps, i come to 720... is that what you come to?
 
Can u explain what u mean by "angles cancel up" ? and how you came up with the 720 result ?
Thanks !
 

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