Question

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.

Answer 1

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