Hello!
The answer is:
The missing angle "x" is equal to 130°.
Why?
We need to remember that the sum of all of the angles of any polygon will be all equal to 360°.
So, we are given the following exterior angles:
[tex]140\°\\34\°\\56\°\\[/tex]
Now, if the sum of all the exterior angles is equal to 360°, we can use it to calculate "x", so:
[tex]360\°=140\°+34\°+56\°+x\\\\x=360\°-(140\°+34\°+56\°)=360\°-230\°\\\\x=130\°[/tex]
Hence, the missing angle "x" is equal to 130°.
Have a nice day!
