How to find the complementary of angles that has equations

Question

m<2=2x-5

m<3=4x-13

Answer 1

Well then if they are complementary then they add up to 90 degrees

 

so angle 2 + angle 3 = 90

 

  (2x-5) + (4x-13) = 90

 

  6x - 18 = 90

 

 6x = 108

 

 x = 18

 

So angle 2 = 2(18) - 5 = 36 - 5 = 31

    angle 3 = 4(18)-13 = 72 - 13 = 59

They add up to 90