Answer:
x = 11
Step-by-step explanation:
Since line a is parallel to line b, the angles (4x + 16)° and (8x - 28)° are vertical angles (opposite from each other), and thus equivalent. So, we can make them equal to each other and then solve for x.
4x + 15 = 8x - 28
Let's start by subtracting 4x from both sides.
4x - 4x + 15 = 8x - 4x - 28
We'll simplify by subtracting like terms.
15 = 4x - 28
Let's add 28 to both sides.
15 + 28 = 4x - 28 + 28
Next, we'll simplify.
44 = 4x
Finally, we'll divide both sides by 4 to solve for x.
44/4 = 4x/4
And simplify.
11 = x
And that's our final answer. Hopefully that was helpful! :)
