\( \angle M A T \) and \( \angle T A H \) are supplementary angles. The angles have the following measures: \( \angle M A T=(6 x-6)^{\circ} \) and \( \angle T A H=(4 x-14)^{\circ} \). What is an equation to solve for \( x \) ? (1 poin

To find the equation for \( x \), we start with the fact that supplementary angles add up to \( 180^\circ \). Given the measures of the angles: \[ \angle M A T = (6x - 6)^\circ \] \[ \angle T A H = (4x - 14)^\circ \] We can set up the equation: \[ (6x - 6) + (4x - 14) = 180 \] Now, let's simplify this equation step by step: 1. Combine like terms: \[ 6x + 4x - 6 - 14 = 180 \] This simplifies to: \[ 10x - 20 = 180 \] 2. Now, we can write the final equation to solve for \( x \): \[ 10x - 20 = 180 \] This is the equation we need to solve for \( x \).