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Chapter 3: Q29. (page 115)

Name or state the postulate, definition, or theorem that justifies each statement about the diagram.

m鈭�1+m鈭�2=m鈭�ABC

Short Answer

Expert verified

The postulate that justifies the given statement is the Angle Addition Postulate.

Step by step solution

01

Step 1. Find the interior angles of ∠ABC.

Observe that both the angles 鈭�1 and 鈭�2 are interior of鈭�ABC.

02

Step 2. Determine the theorem or postulate that can be used.

Postulate 4, the Angle Addition Postulate, states that if lies in the interior of 鈭�AOC, thenm鈭�AOB+m鈭�BOC=m鈭�AOC.

03

Step 3. Use the postulate.

So, the sum of the angles鈭�1and 鈭�2 is equal to 鈭�ABCby the angle addition postulate.

That is,m鈭�1+m鈭�2=m鈭�ABC.

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