Question

the supplement of the compoment of an angle meausring 15. c option is is 0 degree 90 degree 30 degree 210 degree
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Answer 1

Answer:

The measure of the complement of an angle is 15 degrees less than half that of the angle. Find the supplement of the angle. How do you solve this?

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