Question

(HELP ME ASAP PLEASE) 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 ∠6.

Answer 1

m<6=77°

Explanation:

Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that

3x+5°+4x+7°=180°

7x+12°=180°

7x=168°

x=24°

Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:

<6=24*3+5

<6=77°