∠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

x°−20°=180°
x minus 20 equals 180

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

10x°+20°=180°

Answer 1

Since ∠MAT and ∠TAH are supplementary angles, their measures add up to 180°. You are given:

∠MAT = (6x - 6)°
∠TAH = (4x - 14)°

Setting up the equation based on the fact that the angles are supplementary:

(6x - 6) + (4x - 14) = 180

Now, simplify this equation:

6x - 6 + 4x - 14 = 180
10x - 20 = 180

Thus, the correct equation is:

10x - 20 = 180°

So the answer is:

10x°−20°=180°