To find the value of \( c \) in the equation involving angles, we first need a bit more clarity about how these angles are related.
If we're assuming that \( 144^\circ \) and \( 6c \) degrees are supplementary angles (i.e., their sum is \( 180^\circ \)), 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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Now, divide both sides by \( 6 \): \[ c = \frac{36}{6} = 6 \]
Thus, the value of \( c \) is \( 6 \) degrees.
If these angles are meant to be added in any other way (for example, if we need to consider them as part of a triangle or in another geometric context), please specify!