Illustrate an image showing two angles, angle MAT and angle TAH, placed in a way that they are supplementary to each other. Consider angle MAT to be slightly larger than angle TAH. Assume and represent angle MAT by a multi-segment path with 6 sections, each showing a decrementing marker from 6 to 1. Conversely, reflect angle TAH as a multi-segment path with 4 sections, each annotated with a descending counter from 4 to 1. Between the last section of angle TAH, create a little gap to depict subtraction of 14 degrees. Remember, this should be a clean, educational diagram designed to help understand supplementary angles.

∠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

1 answer

To solve for x using the fact that ∠MAT and ∠TAH are supplementary angles, we know that the sum of their measures should equal 180°.

Therefore, we can set up the equation:
(6x-6) + (4x-14) = 180

Simplify the equation:
10x - 20 = 180

Add 20 to both sides:
10x = 200

Divide by 10 on both sides:
x = 20

So, the equation to solve for x is: 10x - 20 = 180