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 = 2(x+14).

use an equation to represent the corresponding angle relationship between a and b.
use the equation to find the measures of a and b.

Use an equation to represent the corresponding angle relationship between A and B.

Ans:

4x = 2(x + 14)

Since they are corresponding, they are considered equal.

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

Ans: Solve for x and substitute it for the angles.

4x = 2(x + 14)

4x = 2x + 28

4x - 2x = 28

2x = 28

x = 28 ÷ 2

x = 14

Now substitute:

Remember, ∠A = ∠B

∠A = 4(14)

∠B = 2(14 + 14)

4(14) = 2(14 + 14)

56 = 2(28)

56 = 56

Correct

56° is the measure for angles for ∠A and ∠B

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.