/M AT and /T AH are supplementary angles. The angles have the following measures: /M AT = 6x -6) and /T AH = 4x - 14) . What is an equation to solve for x?

Answer 1

To solve for x, we need to set up an equation that represents the fact that /M AT and /T AH are supplementary angles.

Since supplementary angles add up to 180 degrees, we have the equation:

(M AT) + (T AH) = 180

Substitute the given expressions for the angle measures:

(6x - 6) + (4x - 14) = 180

Combine like terms:

10x - 20 = 180

Add 20 to both sides:

10x = 200

Divide by 10:

x = 20

Therefore, the equation to solve for x is 10x = 200.