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Chapter 5: Q. 6 (page 200)

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer.m鈭�1+m鈭�2+m鈭�3=__

Short Answer

Expert verified

The statement ism鈭�1+m鈭�2+m鈭�3=180鈭�.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of the angle sum theorem of the triangle.

Angel sum theorem of a triangle states that the sum of the measure of interior angles of a triangle is 180 degrees.

03

Step 3- Step description.

Since the sum of the measure of the interior angles of a triangle is 180 degrees thus the sum of the angles 1,2 and 3 will be 180 degrees.

Thus the statement is m鈭�1+m鈭�2+m鈭�3=180鈭� and the theorem is angle sum theorem.

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