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

We know thatthe angles opposite each other when two lines cross, they are always equal.in this problem  ∠7 and ∠8    are vertical angles."vertical" refers to the vertex (where they cross), not up/down. they are also called vertically opposite angles.let>     ∠7  ∠7=  ∠8angle (5y-29) and angle 7 are supplementary anglesso(5y-29)+  ∠7=> (5y-29)+x=> equation 1angle (5y-29) and angle (3y+19)      are vertical anglesso(5y-29)=(3y+> 5y-3y=19+> 2y=> y=24°substitute the value of y in equation 1(5y-29)+x=> (5*24-29)+x=> x=180-> x=89°thereforethe answer is∠7=89°∠=89°y=24°

We know that
the angles opposite each other when two lines cross, they are always equal.
in this problem  ∠7 and ∠8    are vertical angles.
"vertical" refers to the vertex (where they cross), not up/down. they are also called vertically opposite angles.

let
>     ∠7
  ∠7=  ∠8

angle (5y-29) and angle 7 are supplementary angles
so
(5y-29)+  ∠7=> (5y-29)+x=> equation 1

angle (5y-29) and angle (3y+19)      are vertical angles
so
(5y-29)=(3y+> 5y-3y=19+> 2y=> y=24°

substitute the value of y in equation 1
(5y-29)+x=> (5*24-29)+x=> x=180-> x=89°

therefore

the answer is
∠7=89°
∠=89 °
y=24°