∠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

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 ∠MAT and ∠TAH are supplementary angles, their measures should add up to 180 degrees. Given the measures of the angles as:

∡MAT = (6x − 6)°
∡TAH = (4x − 14)°

We can set up the equation:

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

Combining like terms gives us:

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°