What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

Question

Mathematics

Aimee Hogan

2 December, 01:09

What is the first step in proving that the sum of the measures of triangle XYZ is 180 degrees?

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Adalynn Cantrell · Answer 1

In geometry, the definition of a triangle is a two-dimensional closed figure with three sides. Aside from this, it is proven that the sum of the angles of a triangle is 180°. This is a triangle's innate property. Therefore, any closed shape with three sides is a triangle and it follows that the sum of the three angles is equal to 180°.

It is logical therefore, that the first step in proving this is by using the definition of a triangle.