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Prove that the sum of the interior angles of a triangle is 180 degrees. Do you remember that a straight angle = 180 degrees? You have shown the sum of the angles of a triangle = 180 degrees.

Mathematics

ScanSolve AI Answer

Answer

180∘\text{}180^\circ

Step-by-step solution

3 steps
  1. Recall the definition of a straight angle.

    A straight angle is an angle that measures exactly 180∘180^\circ. It forms a straight line.

  2. Relate the activity to the straight angle.

    The activity described (drawing a triangle, cutting out its angles, and joining them along a straight line) demonstrates that when the three interior angles of any triangle are placed adjacent to each other, they form a straight line.

  3. Conclude the sum of angles.

    Since the combined angles form a straight line, their sum must be equal to the measure of a straight angle. Therefore, the sum of the interior angles of a triangle is \boxed{\text{}180^\circ}}.

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