∠MAT

Question

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

10x°+20°=180°
10 x plus 20 equals 180

9x°−20°=180°
9 x minus 20 equals 180

10x°−20°=180°

Answer 1

Since the angles ∠MAT and ∠TAH are supplementary, their measures add up to 180 degrees. Therefore, we can set up the following equation based on the given measures of the angles:

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

Now, let's simplify this equation:

1. Combine the like terms: \[ 6x + 4x - 6 - 14 = 180 \] \[ 10x - 20 = 180 \]

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

\[ 10x - 20 = 180 \]

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