To find the value of \( m∠7 \) based on \( m∠8 = 45° \), we need to determine the relationship between \( ∠7 \) and \( ∠8 \).
If we assume that \( ∠7 \) and \( ∠8 \) are complementary (adding up to 90°), we can write the equation as:
\[ m∠7 + 45° = 90° \]
Therefore, the equation to find the value of \( m∠7 \) would be:
\( m∠7 + 45° = 90° \)
If they're supplementary (adding up to 180°), the equation would be:
\[ m∠7 + 45° = 180° \]
However, since no specific relation is given, it is common to assume they are complementary for angles like this unless stated otherwise.
So the answer is:
\( m∠7 + 45° = 90° \) (if they are complementary) Or \( m∠7 + 45° = 180° \) (if they are supplementary)
Without knowing more information about the angles' relationship, you can complete the first option.