Since ∠MAT and ∠TAH are supplementary angles, their measures add up to 180 degrees.
Given: \[ \angle MAT = (6x - 6)^\circ \] \[ \angle TAH = (4x - 14)^\circ \]
We can set up the equation based on the information that these angles are supplementary:
\[ (6x - 6) + (4x - 14) = 180 \]
Now, combine like terms:
\[ 6x + 4x - 6 - 14 = 180 \] \[ 10x - 20 = 180 \]
So the correct equation to solve for \(x\) is:
\[ 10x - 20 = 180 \]
Thus, the correct response is:
10x°−20°=180°