Answer:
Two angles are congruent if and only if they they have the same measure.
A = Two angles have the same measure
B = Two angles are congruent
A ↔ B
Explanations:
Biconditional statements are statements that make use of the connector, " If and only if" to join a conditional statement and its converse together.
For a biconditional statement to be true, both the conditional statement and its converse have to be true.
The statement under consideration here is:
"If two angles have the same measure, then they are congruent angles"
As a conditional statement, this statement will be written as:
Two angles are congruent if and only if they they have the same measure.
Let A = Two angles have the same measure
B = Two angles are congruent
Then, the biconditional statement will be represented mathematically as:
A ↔ B