Answer:
See below.
Explanation:
A. The angles 7 & 8 are vertically oppostie angles (V.O.A) & since they share the same vertex caused by the intersection of lines C & D, they'll have the same angle too.
B. Special angles caused by the intersection of lines C & D will have the same value as they are V.O.As & share the same vertex. Hence, to solve for y, the equation will be =》 5y - 29 = 3y + 19
C. Solving for y,
5y - 29 = 3y + 19
5y - 3y = 19 + 29
2y = 48
y = 48/2
y = 24
Since, angle 7 & 5y - 29 are linear pairs,
angle 7 = 180 - (5(24) - 29)
angle 7 = 180 - (120 - 29)
angle 7 = 180 - 91
angle 7 = 89°
Similarly, angle 8 & 3y + 19 are linear pairs,
angle 8 = 180 - (3(24) + 19)
angle 8 = 180 - (72 + 19)
angle 8 = 180 - (91)
angle 8 = 89°
•°• Hence, we also proved that angle 8 & 7 are V.O.As.
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hope this helps!