Triangle Sum Theorem

The Triangle Sum Theorem states that the sum of the 3 angles in a triangle is always 180°.

Example :

Example:

Find the value of x in the following triangle.

Solution:

x + 24° + 32° = 180° (sum of angles is 180°)

x + 56° = 180°

x = 180° – 56°

= 124°

The follwing video shows how to prove that the sum of the angles of a triangle is 180 degrees. (Triangle Sum Theorem)

The following videos show more examples of how to solve problems related to the triangle sum theorem using Algebra.

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