∠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

Answer 1

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