I believe the measurement for that angle is 59.
The term for this is called a supplementary angle if I recall correctly. The lines look straight so that’s probably what is applied.
If you set up that as a straight angle, you’ll get the equation
180*=x*+60*+61*
Simplify
180*=x*+121*
Subtraction property
180*-121*=x*+121*-121*
Simplify
X=59
That’s how I’ve interpreted this question, sorry if i got it wrong.