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Chapter 2: Q7 (page 46)

State which definition, postulate, or theorem justifies the statement about the diagram.

m鈭�1+m鈭�2=m鈭�BAC

Short Answer

Expert verified

The Angle Addition Postulate justifies the statement about the diagram.

Step by step solution

01

Step 1. Observe the given diagram.

The diagram constitutes of a triangle ABC.

02

Step 2. State the Angle Addition Postulate.

The postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles.

03

Step 3. State the conclusion.

Considering the given diagram and the statement 鈥�m鈭�1+m鈭�2=m鈭�BAC鈥�.

Here 鈭�1and 鈭�2are two adjacent angles. So, the sum of these two angles is equal to 鈭�BAC.

Therefore, the statement about the diagram is justified by the Angle Addition Postulate.

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