To find the value of \( c \) based on the angles \( 144^\circ \) and \( (6c)^\circ \), we need to understand the relationship between these two angles.
Assuming that \( 144^\circ \) and \( (6c)^\circ \) are supplementary angles (i.e., they add up to \( 180^\circ \)), we can set up the equation:
\[ 144 + 6c = 180 \]
Now, we can solve for \( c \):
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Subtract \( 144 \) from both sides: \[ 6c = 180 - 144 \] \[ 6c = 36 \]
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Divide by \( 6 \): \[ c = \frac{36}{6} \] \[ c = 6 \]
Thus, the value of \( c \) is \(\boxed{6}\) degrees.