To find \( m∠4 \), we start with the information that angles \( 1 \) and \( 2 \) together form a right angle. Therefore, we can express this relationship mathematically:
\[ m∠1 + m∠2 = 90° \]
Given that \( m∠2 = 47° \), we can substitute this value into the equation:
\[ m∠1 + 47° = 90° \]
Now, we solve for \( m∠1 \):
\[ m∠1 = 90° - 47° = 43° \]
Next, we need to determine the relationship between angles \( 1, 2, 3, 4, \) and \( 5 \). From the description, it is likely that angles \( 3, 4, \) and \( 5 \) are positioned such that they form a straight line with angles \( 1 \) and \( 2 \). This means that angles \( 1, 2, 3, 4, \) and \( 5 \) form a full circle of \( 360° \) at point \( A \). However, it's simpler to consider angles \( 1 \) and \( 2 \) forming part of a straight line with \( 3, 4, \) and \( 5 \).
Assuming angles \( 1, 2, \) and \( 3 \) together reach a straight line, we have:
\[ m∠1 + m∠2 + m∠3 = 180° \]
Substituting for \( m∠1 \) and \( m∠2 \):
\[ 43° + 47° + m∠3 = 180° \]
Calculating \( 43° + 47° \):
\[ 90° + m∠3 = 180° \]
Now, solving for \( m∠3 \):
\[ m∠3 = 180° - 90° = 90° \]
Next, we can use the fact that angles \( 3 \) and \( 4 \) are also likely supplementary (since they extend in the opposite directions from point \( A \)). Thus, we can write:
\[ m∠3 + m∠4 = 180° \]
Knowing \( m∠3 \) is \( 90° \):
\[ 90° + m∠4 = 180° \]
Now, solving for \( m∠4 \):
\[ m∠4 = 180° - 90° = 90° \]
Therefore, the measure of angle \( 4 \) is:
\[ \boxed{90°} \]
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