The measurement of angle BC is 30° less than the measurement of angle AB. What is the measurement of angle AB?

AB-30°=180
AB=150°

?????

insufficient data

Actually, that is not the correct equation to find the measurement of angle AB. Since angle BC is 30° less than angle AB, the correct equation would be:

BC = AB - 30°

We are trying to find the measurement of angle AB, so we need to solve for AB. So, rearranging the equation, we get:

AB = BC + 30°

Since there is no additional information given about the measurement of angle BC, we cannot determine the exact measurement of angle AB. We can only say that angle AB is 30° greater than angle BC.

To find the measurement of angle AB, we can set up an equation based on the information given. Let's say the measurement of angle AB is x degrees.

According to the problem, the measurement of angle BC is 30° less than the measurement of angle AB. So, the measurement of angle BC would be (x - 30) degrees.

Now, we can use the fact that the sum of angle measures in a triangle is always 180 degrees. In this case, angle AB and angle BC are two angles in a triangle, so the sum of their measures should be equal to 180 degrees.

Therefore, we can set up the equation:
x + (x - 30) = 180

Simplifying the equation:
2x - 30 = 180

Then, adding 30 to both sides:
2x = 210

Finally, dividing both sides by 2:
x = 105

So, the measurement of angle AB is 105 degrees.