Answer: Choice A) 19
Explanation
The angles involving x are congruent since they are corresponding angles and because we have parallel lines.
Set those angle expressions equal to each other and solve for x.
5x+56 = 9x-28
5x-9x = -28-56
-4x = -84
x = -84/(-4)
x = 21
So,
- 5x+56 = 5*21+56 = 161
- 9x-28 = 9*21-28 = 161
Both angles involving x are 161 degrees each. This helps confirm we have the correct value for x.
Then,
y + (9x-28) = 180
y + 161 = 180
y = 180-161
y = 19
Therefore, the answer is choice A.
