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91Ó°ÊÓ

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer. m∠1+m∠4=__

Short Answer

Expert verified

The statement ism∠1+m∠4=180∘.

Step by step solution

01

Step 1- Check the figure.

Consider the figure.

02

Step 2- Apply the concept of the supplementary angles.

Linear pair or supplementary angles states that the sum of angles 1 and 4 must be 180 degree.

03

Step 3- Step description.

Since the sum of the supplementary angles is 180 degrees thus the sum of the angles 1 and 4 will be 180 degrees.

Thus, the statement ism∠1+m∠4=180∘ and the postulate is addition postulate.

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