What is the sum of the interior angles of a triangle?

1 Answer
Jul 2, 2016

Sum of angles in any triangle is #180^o#

Explanation:

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Both angles #alpha# are Alternate Interior Angles and, therefore, are congruent (equal in value).
Both angles #gamma# are Alternate Interior Angles and, therefore, are congruent (equal in value).

The sum of all three angles #alpha#, #beta# and #gamma# inside a triangle equals to sum of angles #alpha#, #beta# and #gamma# at the top of a picture that together form straight angle of #180^o#.