Which property is shown?

if m∠abc = m∠cbd, then m∠cbd = m∠abc

reflexive property

substitution property

symmetric property

transitive property

The correct answer is:

symmetric property.

Explanation:

The symmetric property states that if two things are equal, we can "flip" them around the equals sign. Algebraically, this is written as

If a=b, then b=a.

This is true of our angles as well; therefore this is the symmetric property.

We are given a tasked to find the geometric property of a triangle that satisfies the given conditionm∠abc=m∠cbd, then m∠cbd=m∠abc.

It can be observed that if the first value is equal to the second value then the second value is also equal to the first value. This kind of characteristics describes the Symmetric Property.