Question

If the measure of angle AOB = 2x + 4 and the measure of angle COD = 4x - 10, write an equation for solve for x

Answer 1

2x+4=4x-10

Explanation:

AOB and COD are same

Answer 2

`x=7`

Explanation:

We know that ∠AOB is (2x+4) and ∠COD is (4x-10).

Note that ∠AOB and ∠COD both have one arc mark.

In other words, they are congruent. Therefore, their angle measures are the same.

So, we can set the two equations equal to each other:

`2x+4=4x-10`

Now, we can solve for x. Let's add 10 to both sides. This yields:

`2x+14=4x`

Now, let's subtract 2x from both sides. This yields:

`14=2x`

Finally, divide both sides by 2. Therefore, the value of x is:

`x=7`

And we're done!