Question

Make a hypothesis about the sum of the interior angles of any triangle. Explain why your hypothesis works for all triangles.

Answer 1

Answer:

Step-by-step explanation:

The sum of the three angles of any triangle will always be 180 degrees because when all three angles are put together, they form a straight line.

Answer 2

An hypothesis about the sum of the interior angles of a triangle states that : The sum of the interior angles of a triangle will add up to 180°

From the triangle attached :

• The straight line which extends through the vertex at C ; forms an angle of 180° when the exterior angle (a+b)° and one of the interior angle c° are added because the angle on a straight line is 180°

• The value of the exterior angle is equal to the sum of the two opposite interior angles (c and d).

• Hence, the sum of the interior angles ; a, b, c will be 180°

Therefore, since these theorems have being proved and established in geometry, then the sum of the interior angles of any triangle will add up to 180°

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