The complement of an angle is twelve more than five times the angle. Find the angle and its complement.

Answer 1

Let "x" represent the measure of "the angle", then the complement to the angle is "90 - x" and 12 more than five times the angle is 5x + 12 so:

90 - x = 5x + 12 subtracting 12 from both sides gives:

78 - x = 5x and adding "x" to both sides gives:

78 = 6x then dividing both sides by 6 gives:

13 = x

So, the angle is 13° and its complement is 90° - 13° = 77°

Answer 2

A= 12+5B

A+B=90

12+5B+B=90

6B=90-12=78

B=78/6= 13 degrees

A= 90-13= 77 degrees