Hey there!!
We know:- Vertically opposite angles are equal.
Hence,
Angle 1 = Angle 2
... 6x + 11 = 10x - 9
... 20 + 6x = 10x
... 20 = 4x
... x = 20 / 4
... x = 5
Angle 1 = 6x + 11
... 6 ( 5 ) + 11
... 30 + 11
... 41
Hence, the measure of angle 1 is 41 degrees.
Hope my answer helps!
