To solve this problem, we need to understand that congruent angles have the same measure. If we have additional information about the measures of these angles, we can use it to find unknown values. However, without specific numerical values or additional context, we can only state that the measures of these angles are equal.
Step 1: Understanding Congruent Angles
Congruent angles have equal measures. Given that \(\angle 6 \cong \angle 7\), we can conclude that the measure of \(\angle 6\) is equal to the measure of \(\angle 7\).
Step 2: Expressing the Relationship
Since no specific numerical values are provided, we express the relationship as:
\[
m\angle 6 = m\angle 7
\]
Final Answer
The angles are congruent, so their measures are equal:
\[
\boxed{m\angle 6 = m\angle 7}
\]