Why is the total value of the angles of triangles 180°?

Why is the total value of the angles of triangles 180°?

The total value of angles of all triangles, no matter what type of triangle equals a total of 180°; let’s try and prove why this is the case. Before proving this, we must remember the angles of two parallel lines at intercepts.



The angles that are formed when two lines that are parallel to one another are intercepted, the systems that are formed (centre points) will be the same value. The angle system continues to cut the lines and comes towards the other parallel line.




Let’s create a similar system for a triangle;

Let’s create a triangle, show the angles in different colours, and draw a line parallel to the foundation.

Now let us look at the situation of the angles and carry out the ‘moving’ operation.








Let’s focus at the very top, the blue, yellow and red angles show the total value of the angles. Since the right angle is 180°, the total value of the angles in a triangle is 180°






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