Since ∠MAT and ∠TAH are supplementary angles, their measures add up to 180°. You are given:
∠MAT = (6x - 6)°
∠TAH = (4x - 14)°
Setting up the equation based on the fact that the angles are supplementary:
(6x - 6) + (4x - 14) = 180
Now, simplify this equation:
6x - 6 + 4x - 14 = 180
10x - 20 = 180
Thus, the correct equation is:
10x - 20 = 180°
So the answer is:
10x°−20°=180°