< 1 and < 2 are a linear pair. m < 1 = x - 30 and m < 2 = x + 76 find the measure of each angle

The answer to your question is

<1=37, <2=143

It is given in this question that angle 1 and angle 2 are linear pair .

LInear pair are those angles , whose sum is 180 degree.

That is sum of measurements of angle 1 and angle 2 must be 180 degree. That is

Combining like terms

Subtracting 46 from both sides

Dividing both sides by 2

So the two angles are

i think the correct option is the second option.