In the following diagram A || B 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. Solve for x showing all of your work. Find the measure of square root 6.​

Step-by-step explanation:

The special angles created by the intersection of A and D can be used to solve for x because there are supplementary angles amongst them while some are vertically opposite to one another. They are all linked to one another.

Angle (4x + 5) and angle (3x + 7) are supplementary angles i.e

add up to 180°.

4x + 5 + 3x + 7 = 180°

7x + 12 = 180

7x = 168

x = 168/7

x = 24.

<6 = 3x + 7

= 3 ×24 +7

= 72 + 7

= 79°