Need!!!!
In the following diagram, A II B

1) Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve for x.
2) Solve for x, showing all of your work.
Find the measure of angle 6.

Need In the following diagram A II B 1 Use complete sentences to explain how the special angles created by the intersection of A and B by D can be used to solve class=

Respuesta :

The value of x in the intersecting lines is 24.

The value of angle 6 is 79 degrees.

How to find angles in intersecting lines?

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore,

∠6 = 3x + 7(corresponding angles)

Corresponding angles are congruent.

Therefore,

3x + 7 + 4x + 5 = 180(sum of angles on a straight line)

7x + 12 = 180

7x = 168

x = 168 / 7

x = 24

∠6 = 3x + 7 = 3(24) + 7 = 72 + 7 = 79 degrees.

learn more on angles here: https://brainly.com/question/22056665

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