Question

The measure of an angle is 78 less than the measure of its complement. what is the measure of the angle?

Answer 1

90-78 =..

Answer 2

12

Answer 3

angle 1 + angle 2 = 90

angle 1 is 78 less than angle 2

Answer 4

if A is angle 1 and B is angle 2, then A = B-72

And A + B = 90, so (B-72) + B = 90
2B - 72 = 90
2B = 90 + 72 = 162
B = 81

And A is 72 less, or 9.

Check work: 9 and 81 are supplementary angles, and 9 is 78 less than 81

Answer 5

hope that helped...