In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.

For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).

Part A: Write an equation to represent the corresponding relationship between A and B.

Part B: Use the equation to find the measures of A and B.

Answers and Step-by-step explanation:

We know that angles A and B are corresponding angles. By definition, this means that A and B are equal in degree measure. A = 4x and B = -5(x - 18), so we can set these equal to each other.

A. 4x = -5(x - 18)

B. Now, we need to solve for x.

4x = -5x - 5 * (-18) = -5x + 90

9x = 90

x = 10

Plug this value into each expression of A and B:

A = 4x = 4 * 10 = 40 degrees

B = -5(x - 18) = -5(10 - 18) = -5 * (-8) = 40 degrees.

Thus A = B = 40 degrees.

Hope this helps!

b

step-by-step explanation: