Question

∠MAT and ∠TAH are supplementary angles. The angles have the following measures: ∡MAT=(6x−6)° ∡ M A T = ( 6 x − 6 ) ° and ∡TAH=(4x−14)° ∡ T A H = ( 4 x − 14 ) ° . What is an equation to solve for x x ?(1 point) Responses 10x°−20°=180° 10 x minus 20 equals 180 9x°−20°=180° 9 x minus 20 equals 180 x°−20°=180° x minus 20 equals 180 10x°+20°=180°

Answer 1

Since ∠MAT and ∠TAH are supplementary angles, their measures must add up to 180 degrees. Therefore, we can write the equation:

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

Now, combine like terms:

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

This simplifies to:

\[
10x - 20 = 180
\]

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

\[
10x - 20 = 180
\]