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, angles A and B, are corresponding angles.

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

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

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

Question

Mathematics

Kolton Bradley

21 July, 22:28

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, angles A and B, are corresponding angles.

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

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

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

+3

Answers (1)

Know the Answer?

Lamar Myers · Answer 1

Correspondent angles are angles in parallel lines, intersected by a transversal and they are equivalent.

Part A:

Equation is: A=B

4 x = - 5 (x - 18)

Part B:

We solve this equation:

4 x = - 5 x + 90

4 x + 5 x = 90

9 x = 90

x = 90: 9 = 10 (degrees)

Measure of angle A = 4 * 10 = 40 (degrees)

Measure of angle B = - 5 (10 - 18) = (-5) * (-8) = 40 (same as angle A)