Nayelisan01 Nayelisan01
  • 01-05-2019
  • Mathematics
contestada

The sum of the interior angles of a triangle is_____.

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elleshaarnold7
elleshaarnold7 elleshaarnold7
  • 01-05-2019

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

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carlosego
carlosego carlosego
  • 01-05-2019

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

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