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Chapter 2: Q2. (page 62)

Write the name or statement of the definition, postulate, or theorem that justifies the statement about the diagram.

m鈭�1+m鈭�2=m鈭�CDB

Short Answer

Expert verified

The name of the postulate which justifies the statement about the given diagram is angle addition postulate.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

From the diagram, it can be noticed that:

m鈭�CDF=m鈭�1andm鈭�FDB=m鈭�2

02

Step 2. Write the angle addition postulate.

The angle addition postulate states that if point B lies in the interior of 鈭燗OC then m鈭�AOB+m鈭�BOC=m鈭�AOC.

03

Step 3. Write the name of the postulate that justifies the statement about the given diagram.

From the given diagram and the angle addition postulate it can be noticed that:

m鈭�CDF+m鈭�FDB=m鈭�CDBm鈭�1+m鈭�2=m鈭�CDB

Therefore, the name of the postulate that justifies the statement about the given diagram is the angle addition postulate.

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