Answer:
x = 142°, y = 38°
Explanation:
Since (3y+28)° and x° are vertically opposite and corresponding, this means that x = 3y + 28
We also know that the sum of angles on the same side of a transversal is always 180°. This means that:
x + y = 180
Sub in x = 3y + 28
3y + 28 + y = 180
4y + 28 = 180
4y = 152
y = 38°
Now that we know that y = 38, we can sub this back into x = 3y + 28
x = 3(38) + 28
x = 114 + 28
x = 142°
You can double check this by finding the sum of x and y, which is 142 + 38 = 180
Therefore, x = 142°, and y = 38°