Answer:
x=6
Explanation:
So, lets go over what we know.
Angle 5x and angle x+54 make up 90 degrees.
We know its 90 degrees since there is a square like symbol on the side of the line.
To sovle for x, we must add the two angles together. This will make them equivelent to 90 degrees.
So:
5x+x+54=90
=
6x+54
Now that we combined our two angles, we can solve it like a normal equation:
6x+54=90
subtract 54 from both sides to get 6x alone:
6x=36
Now divide both sides by 6 so x is alone:
x=6
So now we know that x=6.
If you wan to check your answer, just look at the orginal graph, plug in 8 for x, and see if the two angles add up to 90:
Angle 5x:
5*6
=
30
Angle x+54
6+54
=
60
Add the two angles together:
30+60
=
90
So we have checked and the answer is still correct!
Hope this helps! :D