Answer:
x = -3
Step-by-step explanation:
The two angles shown are <em>corresponding angles</em>, meaning that they have the same value. Because of this, we can create an equation to solve for the value of x.
2x + 9 = 7x + 24
Remember, those two angles are similar, and that's why we can make the two values equal to each other. First, let's remove 7x from both sides.
2x - 7x + 9 = 7x - 7x + 24
-5x + 9 = 24
Then, we'll remove 9 from both sides.
-5x + 9 - 9 = 24 - 9
-5x = 15
Finally, we'll divide both sides by -5 to isolate x and figure out what it is equivalent to.
-5x/-5 = 15/-5
x = -3
And there it is... the value of x. Hopefully that's helpful! :)
