Two angles are complementary three times the measure of one of the angles is 10° more than the measure of the other angle. find the difference between the measure of the larger angle in the smaller angle

  40°

Step-by-step explanation:

Let x represent one of the angles, and y represent the other one. Then we have ...

  x + y = 90

  3x = y +10

Substituting for y in the first equation, we have ...

  x + (3x -10) = 90

  4x = 100

  x = 25

  y = 3(25) -10 = 65

The difference between the angles is ...

  y -x = 65 -25 = 40 . . . . degrees

The difference between the angle measures is 40 degrees.

The difference is 40,

Step-by-step explanation:

Complementary angles , x+y =90

so we know angle 1, we call it  3x and angle 2 we call it y= 3x+10

so 3x +10= 90-x

4x=100

x=25

angle 1= 3(25) - 10

y= 65

65-25= 40