To find an equation for \(x\) based on the measures of the supplementary angles \(\angle MAT\) and \(\angle TAH\), we need to set up the equation based on the fact that supplementary angles sum up to \(180^\circ\).
Given: \[ \angle MAT = (6x - 6)^\circ \] \[ \angle TAH = (4x - 14)^\circ \]
Since the angles are supplementary, we can write the equation: \[ (6x - 6) + (4x - 14) = 180 \]
Now, we simplify this equation: \[ 6x - 6 + 4x - 14 = 180 \] \[ 10x - 20 = 180 \]
Thus, the equation to solve for \(x\) is: \[ 10x - 20 = 180 \]
Therefore, the correct response from your options is: 10x°−20°=180°.
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