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.