∠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 degrees minus 20 degrees equals 180 degrees

10x°+20°=180°
10 x degrees plus 20 degrees equals 180 degrees

9x°−20°=180°
9 x degrees minus 20 degrees equals 180 degrees

x°−20°=180°

1 answer

To solve for \( x \) given that angles \( \angle MAT \) and \( \angle TAH \) are supplementary, we know that the sum of the angles is equal to \( 180^\circ \).

Given: \[ \angle MAT = (6x - 6)^\circ \] \[ \angle TAH = (4x - 14)^\circ \]

Since they are supplementary: \[ (6x - 6) + (4x - 14) = 180 \]

Combining like terms, we get: \[ 10x - 20 = 180 \]

So, the correct equation to solve for \( x \) is: \[ 10x - 20 = 180 \]

The expression that corresponds to this is: 10x°−20°=180°.