Angle 1 and 2 are a linear pair m angle 1 = x-16 and m angle 2 = x + 98 find th measurement of each angle

2 angles are a linear pair if they add up to 180 degrees.

so {angle 1 + angle 2=180°}

{ (x-16) + (x+98) = 180°}

{2X+82=180}

{2x=180-82}

{2x=98}

{x=98/2}

x=49

Now substitute x into the angles

angle 1 = 49-16

angle 1=33°

angle 2 = 49+98

angle 2=147°

check your answer

is 33+147=180?

Yes.