Question

what is the measur of an angle if it is 15 less than its complement​

Answer 1

Let original angle = x

Since the complement of an angle is 90-x, the equation we need to set up would be:

90 - x = (x/2)-15

105 - x = x/2

210-2x = x

210 = 3x

70 = x

We also know that the supplement(s) of an angle is 180 - x. Using that information, we can solve for s:

180 - x = s

180 - 70 = s

110 = s

Therefore 110 is your final answer.

*All measurements are in degrees