∠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

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

9x°−20°=180°
9 x minus 20 equals 180

10x°+20°=180°
10 x plus 20 equals 180

x°−20°=180°

Answer 1

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

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

Now, combine the terms:

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

This simplifies to:

\[ 10x - 20 = 180 \]

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

10x - 20 = 180.

This matches the first response option provided.