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Chapter 2: Q5 (page 49)

Use the conditional: If AB炉and CD炉intersect, then AB鈫�and CD鈫�intersect.

Given:m鈭�A+m鈭�B=180;m鈭�C=m鈭�B

What property of equality justifies the statement m鈭�A+m鈭�C=180?

Short Answer

Expert verified

The required property is the substitution property.

Step by step solution

01

Step 1. Observe the given statement.

The provided statement states that the measurement of 鈭�Aand 鈭�Cis equal to 180 and it is also true for the angles A and B so, in statement m鈭�A+m鈭�B=180, the m鈭�Bcan be replaced with m鈭�Cbecause the measurement of 鈭�Cis the same as the measurement of 鈭�B.

02

Step 2. Identify the property.

The provided statement is justified with the help of a substitute so this operation can be done with the help of substitution property.

03

Step 3. Make the conclusion.

As substitution property helps in justification so it is the required property.

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Most popular questions from this chapter

Tell whether each statement is true or false. Then write converse and tell whether it is true or false.

Statement: If x=鈭�6,thenx=6.

Justify each statement with a property from algebra or property of congruence 鈭�P鈮�鈭�P.

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

If E is the midpoint of AF炉, then AE炉鈮�EF炉.

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If 鈭�A鈮�鈭�B, then m鈭�A=m鈭�B.
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