<MAT and <TAH are supplementary angles. The angles have the following measures <MAT = (6x - 6) and <TAH = (4x - 14) what is an equation to solve for x ?

Answer 1

Since the angles \( \angle MAT \) and \( \angle TAH \) are supplementary, their measures add up to 180 degrees. Therefore, we can set up the equation as follows:

\[ \angle MAT + \angle TAH = 180^\circ \]

Substituting the expressions for \( \angle MAT \) and \( \angle TAH \):

\[ (6x - 6) + (4x - 14) = 180 \]

Now, combine like terms:

\[ 6x + 4x - 6 - 14 = 180 \]

This simplifies to:

\[ 10x - 20 = 180 \]

So the equation to solve for \( x \) is:

\[ 10x - 20 = 180 \]