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2 years ago

2. Complete the proof of the exterior angle theorem

Mathematics

1 answer:

Sonbull [250]2 years ago

7 0

Answer:

The correct answer is:

1. Because of collinearity and supplementarity-

2. They remain along the same line.

3. The sum of them is 180 degrees.

4. Supplementarity.

5. The sum of the internal angles of a triangle is 180ª

6. Supplementarity and external angle theorem sum up the same.

7. Nothing.

Step-by-step explanation:

1. The reason why the exterior angle of 3 is 4, its because the last one is supplementary and collinear to the other.

2. Angle 3 and 4, form a collinear pair since they remain along the same line.

3. Angle 3 is supplementary to 4 because the sum of them is 180 degrees.

4. The sum of the angles are 3 and 4 is 180 because they are supplementary.

5. The sum of the angles mentioned is: 180 because of internal angle theorem.

6. It's like that because supplementarity and external angle theorem sum up the same. i.e, angle 1 + angle 2 + angle 3 = angle 3 + angle 4 =180

7. Nothing.

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