Angle 1 and angle 2 are supplementary angles, and angle 1 and angle 3 are complementary angles. Given the measurement of angle 1 is 28 degrees less then

angle 2, find the measurement of angle 3.

Supplementary angles add up to 180 degrees

Complementary angles add up to 90 degrees

So if angle 2 is x

Then angle 1 is x - 28

And we can set up the equation

x + (x-28) = 180

2x - 28 = 180

2x = 208

x = 104

And then the second equation is:

Angle 1 + Angle 3 = 90

Angle 1 = 104 - 28 = 76

76 + Angle 3 = 90

Angle 3 = 14

So the angles are, again:

∠1 = 76

∠2 = 104

∠3 = 14