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Verified Answer :

the measure of angle x is 42 degreees.

Since all Triangles have an Interior sum of 180°, you need to do this:
1.) Add the two angles you already have: 
\(90 48=138\)
2.) Subtract the sum from 180°: \(180-138=42\)
Final Answer: \(x=42\)°
Hope this helps!!