Question

If angle ABC =EBD, then angle ABC+ CBD=EBD + angle CBD. This is an example of which of the following? Select the best answer from the choices provided.

A substitution
B addition property
C transitive property
D subtraction property​

Answer 1

The given statement demonstrates the addition property of angles, which states that if two angles are equal, adding the same angle to both of them will result in their sums being equal.

Step-by-step explanation:

The given statement, "If angle ABC = EBD, then angle ABC + CBD = EBD + angle CBD," demonstrates the addition property of angles. In mathematics, the addition property states that if two angles are equal, then adding the same angle to both of them will result in their sums being equal as well.

In this case, angle ABC is equal to angle EBD. By adding angle CBD to both sides of the equation, angle ABC + CBD becomes EBD + angle CBD.

Therefore, the correct answer is B) addition property.