231k views
4 votes
What property is used If m∠A = m∠B and m∠A + m∠C = m∠D, then
m∠B + m∠C = m∠D.

User Prradep
by
8.0k points

1 Answer

6 votes

Answer:

substitution property

Explanation:

You want to know the property that tells you if m∠A = m∠B and m∠A + m∠C = m∠D, then m∠B + m∠C = m∠D.

Substitution

The substitution property of equality tells you that if A = B, then B can be used in place of A in any expression.

Here, the expression using m∠A is

m∠A + m∠C = m∠D

Since m∠A = m∠B, we can put m∠B in the statement where m∠A is:

m∠B + m∠C = m∠D . . . . . . . . . substitution property

<95141404393>

User Shonique
by
8.1k points