Question

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

Answer 1

The answer to your question is

<1=37, <2=143

Answer 2

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

`x-30+x+76=180`

Combining like terms

`2x+46=180`

Subtracting 46 from both sides

`2x = 134`

Dividing both sides by 2

`x=67`

So the two angles are

`\angle 1 = 67-30=37 degree \\ \angle 2 = 67+76= 143 degree`