Question

m<1 and m<2 are a linear pair. m<1= x- 35, and m<2= x+ 83. Find the measure of each angle

Answer 1

Linear pair => Sum of both angles is 180 degrees.

So,
x - 35 + x + 83 = 180
=> 2x = 132
=> x = 66

Angle 1 = 66 - 35 = 31
Angle 2 = 66 + 83 = 149