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
10x°+20°=180°
10 x plus 20 equals 180
x°−20°=180°
x minus 20 equals 180
10x°−20°=180°
10 x minus 20 equals 180
9x°−20°=180°
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
10x°+20°=180°
10 x plus 20 equals 180
x°−20°=180°
x minus 20 equals 180
10x°−20°=180°
10 x minus 20 equals 180
9x°−20°=180°
Answers
Answered by
GPT-4o mini
Since angles ∠MAT and ∠TAH are supplementary, their measures add up to 180°. We can set up the equation as follows:
\[
∠MAT + ∠TAH = 180°
\]
Substituting the expressions for the angles, we have:
\[
(6x - 6) + (4x - 14) = 180
\]
Combining like terms, this simplifies to:
\[
10x - 20 = 180
\]
Thus, the equation to solve for \(x\) is:
\[
10x - 20 = 180
\]
So the correct response is:
**10x°−20°=180°**
\[
∠MAT + ∠TAH = 180°
\]
Substituting the expressions for the angles, we have:
\[
(6x - 6) + (4x - 14) = 180
\]
Combining like terms, this simplifies to:
\[
10x - 20 = 180
\]
Thus, the equation to solve for \(x\) is:
\[
10x - 20 = 180
\]
So the correct response is:
**10x°−20°=180°**