To find the measurement of the angle \( x \), we first need to analyze the information given. It looks like you have a scenario in which three angles are being measured—37°, 42°, and \( x \)—along with perhaps additional angles of 79°, 24°, and 90°.
Assuming that the sum of angles around a point or in a certain geometric figure is equal to 360° or 180° (based on the figure you are considering), we will calculate it accordingly:
If the three angles together sum to 180° (like in a triangle), then we can set up the equation as:
\[ 37° + 42° + x = 180° \]
Calculating the sum of the known angles:
\[ 37° + 42° = 79° \]
Substituting this into the equation gives us:
\[ 79° + x = 180° \]
To find \( x \), we subtract 79° from both sides:
\[ x = 180° - 79° \] \[ x = 101° \]
If the angles are meant to sum to something different (like 360°), please clarify the scenario so that I can assist you further!