25 POINTS PLEASE HELP QUICK

In the following diagram line C intersects line D.

Figure may not be drawn to scale.

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

y = 24°

Angle 7 = Angle 8 = 89°

Step-by-step explanation:

5y - 29 = 3y + 19

Because they are vertically opposite angles

2y = 48

y = 24°

Angles 7 and 8 are also equal because they are vertically opposite angles.

Angle 7 = 180 - (3y + 19)

(Supplementary angles)

Angle 7 = Angle 8

= 180 - (3(24) + 19) = 89°

The relationship between <7 and <8 can be said to be vertically opposite angles. They are equal to one another and formed by the intersection of two straight lines. i.e. the intersection of lines C and D.

The special angles created by the intersection of lines C and D can be used to solve for y because they all are inter woven and connected to one another either supplemtarily or by being vertically opposite angles.

5y - 29 = 3y + 19( vertically opposite angles)

5y - 3y = 19 + 29

2y = 48

y = 48/2

= 24.

<7 = <8

<7 + 5y - 29 = 180°( angles on a straight line)

<7 = 180° + 29 - (5 × 24)

= 209 - 120

<7 = 89°

<8 = 89° (vertically opposite angles)