The two acutes angles each equal 60 + x
The two obtuse angles each equal x + 120
If you set up an equation to solve, it'd be:
2(60 + x) + 2(x + 120) = 360 (since 360 is the total degrees in a quadrilateral)
120 + 2x + 2x + 240 = 360
4x = 0
x = 0
Since x equals zero, just plug that back into the equation for the measure of angle m.
Measure of angle m = 60 + x
m = 60 + 0 = 60 degrees