∠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.