To find the value of \( m \angle 7 \) given that \( m \angle 8 = 45^\circ \), we need additional information about the relationship between angles 7 and 8.
For instance, if angles \( m \angle 7 \) and \( m \angle 8 \) are complementary (meaning their sum is \( 90^\circ \)), we can write the equation:
\[ m \angle 7 + m \angle 8 = 90^\circ \] Substituting the value of \( m \angle 8 \): \[ m \angle 7 + 45^\circ = 90^\circ \]
If they are supplementary (meaning their sum is \( 180^\circ \)), the equation would be: \[ m \angle 7 + m \angle 8 = 180^\circ \] Substituting: \[ m \angle 7 + 45^\circ = 180^\circ \]
If you can provide the specific relationship between angles 7 and 8 (whether they are complementary, supplementary, or any other type), I can provide a more accurate equation.