Question

if ( mangle a=mangle b ) and ( mangle a + mangle c=mangle d ), then ( mangle b + mangle c=mangle d ).
which property is shown?
reflexive property
substitution property
symmetric property
transitive property

Explanation:

Step1: Recall the substitution property

The substitution property states that if \(a = b\), then \(a\) can be substituted for \(b\) in any equation.
Given \(m\angle A=m\angle B\), and \(m\angle A + m\angle C=m\angle D\).
Substitute \(m\angle A\) with \(m\angle B\) in the equation \(m\angle A + m\angle C=m\angle D\).
We get \(m\angle B + m\angle C=m\angle D\).

Answer:

substitution property