∠bad is bisected by . if m∠bac= 2x - 5 and m∠cad = 145, the value of x is 150 145 75 70

We are asked to find the value of x given that ∠BAD is bisected by AC and measurement of BAC is equal to 2x - 5 and measurement of CAD is equal to 145. Since they are bisected, they are equal and the solution is shown below:
m ∠ BAC = m ∠ CAD
2x - 5 = 145 , transpose -5 to the opposite side such as:
2x = 145 + 5 , perform addition of 145 and 5
2x = 150
2x / 2 = 150 / 2 , divide both sides by 2
x = 75

The answer is 75 for the x value.