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Use the conditional: If AB¯and CD¯intersect, then ABand CDintersect.

Given:mA+mB=180;mC=mB

What property of equality justifies the statement mA+mC=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 Aand Cis equal to 180 and it is also true for the angles A and B so, in statement mA+mB=180, the mBcan be replaced with mCbecause the measurement of Cis the same as the measurement of 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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