To calculate the measurement of the exterior angle \( x \), we first need to clarify the arrangement of the angles you provided. It seems like you've listed a few angles but it’s a little unclear how they relate to the exterior angle \( x \).
If we are considering a polygon (e.g., a triangle or quadrilateral), we know that the sum of the exterior angles of any polygon is always 360 degrees. Exterior angles are formed by extending one side of the polygon and are supplementary to the interior angles.
From the angles you provided, I see these individual angles: \( 37° \), \( 42° \), and possibly a total mentioning involving \( 79°, 24°, \) and \( 42° \). However, their relation together needs context (e.g., if they are interior angles of a polygon).
Assuming we are looking for \( x \) along with the exterior angles and given that those given angles somehow relate to \( x \), we can set up the equation using the property of the relationship between interior and exterior angles.
If we know the interior angle associated with \( x \) (assuming \( x \) is supplementary to an interior angle), the relationship is:
\[ \text{Exterior Angle} + \text{Interior Angle} = 180° \]
If we assume \( x \) is the exterior angle opposite the 42° interior angle, then:
\[ x + 42° = 180° \]
Solving for \( x \):
\[ x = 180° - 42° \] \[ x = 138° \]
If you have specifics that clarify how these angles relate (like a diagram or further instructions on their configuration), please provide that for more accurate assistance!
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