A pair of parallel lines is cut by a transversal.If m∠A = (6x − 3)° and m∠B = (9x − 24)°, what is the value of x?Group of answer choices713.81.47.8

The problem involves a pair of parallel lines cut by a transversal. In this case, angles A and B are corresponding angles. According to the properties of parallel lines, corresponding angles are equal. Therefore, we can set the measures of angle A and angle B equal to each other and solve for x.

So, we have:

6x - 3 = 9x - 24

To solve for x, first, we can simplify the equation by subtracting 6x from both sides:

-3 = 3x - 24

Then, add 24 to both sides:

21 = 3x

Finally, divide both sides by 3 to solve for x:

x = 7

So, the value of x is 7.