Question

∠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) Responses x°−20°=180° x minus 20 equals 180 9x°−20°=180° 9 x minus 20 equals 180 10x°−20°=180° 10 x minus 20 equals 180 10x°+20°=180°

Answer 1

Since angles ∠MAT and ∠TAH are supplementary, their measures sum up to 180 degrees.

We can set up the equation as follows:

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

Now, combine the terms:

\[ 6x - 6 + 4x - 14 = 180 \] \[ (6x + 4x) + (-6 - 14) = 180 \] \[ 10x - 20 = 180 \]

So, the equation to solve for x is:

\[ 10x - 20 = 180 \]

Thus, the correct response is: 10x°−20°=180°.