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The sum of the interior angles of a triangle is_____.

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The sum of the measures of the interior angles of a triangle is 180˚. Example 3: In NMQ. ∆.

User Spencer Castro
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For this case, we have given an ABC triangle with internal angles α,β,γ. By definition, the sum of the internal angles must be 180 degrees.

That is to say:

α+β+γ=180

This can be demonstrated according to the fifth postulate of Euclid. From there we have to draw a parallel to one of the sides, by the vertex opposite him, the interior angles of the left side add two right angles.

Answer:

180 degrees

User Junichiro
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