solve Equations with vertical angles quick check

Answer 1

To solve equations involving vertical angles, you can set them equal to each other and solve for the variables. Vertical angles are formed when two lines intersect, and they have the same measures.

Here's an example:

Given that angle 1 is 3x - 5 and angle 2 is 5x + 10, and they are vertical angles, we can set them equal to each other:

3x - 5 = 5x + 10

Now, let's solve for x.

First, we can simplify the equation by combining like terms:

-5 = 2x + 10

Next, we can isolate the variable by subtracting 10 from both sides:

-15 = 2x

Finally, we can solve for x by dividing both sides by 2:

x = -7.5

So, the value of x is -7.5.