Question

Q: state that a straight line is 180°​

Answer 1

Answer:

A straight line is 180° because it is flat.

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Answer 2

Answer:

Sometimes the hardest things to define are the most basic… OK. Are you familiar with the division of a circle into degrees, and how, by convention, there are 360 degrees in a circle? (By the way — Euclid, the father of geometry, didn’t use the concept of degrees… although he did have the notion of “angles on a line”: for example, talking about the sum of all the angles in a triangle, he described them as “adding up to a line”).

Draw a line. If you pick any point on your line, stick a compass point on it, and draw a circle of any size, you can see that your line now divides that circle in 2 equal halves — in fact, the segment of your line enclosed in the circle and passing through its center, is the diameter of the circle. On each side of this segment, there must therefore be 180 degrees (half a circle’s worth, or 1/2 of 360).

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