Answer
$$ 120 ^{\circ}$$
Work Step by Step
We know that the two angles add up to 180 degrees. Thus:
$$ m \angle 1 + m \angle 2 = 180 ^{\circ} \\ 2x + x = 180 \\ 3x =180 \\ x=60$$
Thus, the measure of angle 1 is:
$$ m\angle 1 = (60^{\circ})(2) = 120^{\circ}$$
