Answer:
75 degrees
Step-by-step explanation:
All triangles equate to 180 degrees (this will be helpful in our equation later).
We see that we have a right angle, so we know one of the angles is 90 degrees. We just have to figure out the other two.
Thankfully, a magical thought comes into our mind, vertical angles. Angle CBE and Angle ABD are vertical angles! This means that they both equal 15 degrees (or in other words, they're also 15 degrees).
We found two of our angle values, now we need to find out the last one, x.
We can do that using this equation.
90 + 15 + x = 180
Now, we just solve for x.
[tex]90 + 15 + x = 180\\105 + x = 180\\x = 75[/tex]
Angle x is 75 degrees.