Answer:
A) angles 7 and 8 are vertical angles, making them equal in measure
B) The angle with the measure of (5y-29) and the angle with the measure of (3y+19) are also vertical angles. This means they are equal in measure to each other. You can solve for y by setting these two angles equal to each other.
C) (5y-29)= (3y+19). Add 29 to both sides.
5y = 3y + 48. Subtract 3y from both sides.
2y = 48. Divide both sides by 2.
Y = 24
Plug 24 in for y in the two equations.
(5y-29)
5(24)-29= 91
And
(3y+19)
3(24)+19= 91
Angle 8 and the angle with the measure of (5y-29) are a linear pair. They sum to 180. Remember (5y-29)=91, so
91+ angle 8 = 180. Subtract 91 from both sides.
Angle 8 = 89
If angle 8 is 89, then angle 7 is also 89 because they are vertical angles and equal.
Step-by-step explanation:
