Question

explain why the angles of a triangle add up to 180°​

Answer 1

Answer:

A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle. In other words, the other two angles in the triangle (the ones that add up to form the exterior angle) must combine with the third angle to make a 180 angle.

Step-by-step explanation:

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Answer 2

This is a proof that the angles in a triangle equal 180°:

Proof the angles in a triangle add to 180

The top line (that touches the top of the triangle) is

running parallel to the base of the triangle.

So:

angles A are the same

angles B are the same

And you can easily see that A + C + B does a complete rotation from one side of the straight line to the other, or 180°