In the following diagram line C intersects line D. Using complete sentences, classify the relationship between ∠7 and ∠8 created by the intersection of lines C and D.
Use complete sentences to explain how the special angles created by the intersection of lines C and D can be used to solve for y.
Solve for y and find the measures of ∠7 and ∠8

c and d can you show me your face 7 and 8

Step-by-step explanation:

answer below! hope this helps!

Step-by-step explanation:

A.The relationship between angles <7 and <8 are described as vertically opposite angles, they are angles that are opposite of eachother when two lines cross. Theyare vertical because they share the same vertex(the same corner angles) as opposed to the usual up-down meaning of vertical.

B. The angles created by this intersection between c and d are special because they are equal to each other, to solve for y we have (5y-29)=(3y+19), this is because they are vertical angles.

C. (5y-29)=(3y+19)

2y-29=19

2y=48

y=24

5(24)-29=91

3(24)+19=91