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To find the measure of the exterior angle \( x \), we can use the property that the exterior angle is equal to the sum of the two remote interior angles.
In this case, if we have two interior angles of \( 32^\circ \) and \( 37^\circ \), we can find the exterior angle \( x \) as follows:
\[
x = 32^\circ + 37^\circ
\]
\[
x = 69^\circ
\]
Therefore, the measure of the exterior angle \( x \) is \( 69^\circ \).