∠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 ?(1 point)

Question

Responses

9x°−20°=180°
9 x minus 20 equals 180

10x°−20°=180°
10 x minus 20 equals 180

x°−20°=180°
x minus 20 equals 180

10x°+20°=180°

Answer 1

Since angles ∠MAT and ∠TAH are supplementary, their measures must add up to 180°. Therefore, you can set up the following equation:

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

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 response is:

10x°−20°=180°