angle MAT and angle TAH are supplementary angles. the angles have the following measures: MAT = (6x - 6)° and TAH = (4x - 14)° what is an equation tow solve for x?
To find an equation to solve for x, we can use the fact that supplementary angles add up to 180 degrees.
Since angle MAT and angle TAH are supplementary, we can set up the equation:
MAT + TAH = 180
Substituting the given measures:
(6x - 6) + (4x - 14) = 180
Simplifying the equation:
6x + 4x - 6 - 14 = 180
10x - 20 = 180
Adding 20 to both sides:
10x = 200
Dividing both sides by 10:
x = 20