Question

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 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

Given that ∠MAT and ∠TAH are supplementary angles, their measures sum up to 180°. The measures are given by:

∡MAT = (6x − 6)°
∡TAH = (4x − 14)°

Since they are supplementary:
∡MAT + ∡TAH = 180°

Let's set up the equation:

(6x − 6)° + (4x − 14)° = 180°

Simplifying this equation:
6x − 6 + 4x − 14 = 180
10x − 20 = 180

Therefore, the equation to solve for x is:

10x − 20 = 180