SOLUTION: The measure of the supplement of an angle is 20degrees more than three times the measure of the original angle. Find the measures of the angles. --Please help me solve the prob

Algebra ->  Angles -> SOLUTION: The measure of the supplement of an angle is 20degrees more than three times the measure of the original angle. Find the measures of the angles. --Please help me solve the prob      Log On


   



Question 896624: The measure of the supplement of an angle is 20degrees more than three
times the measure of the original angle. Find the measures of the angles.
--Please help me solve the problem. I don't know how to get to the answer with work, so please show work or explanation. Thank you very much :)

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
Measure of "an angle", d.

180-d is the supplement of the angle.

180-d=20%2B3%2Ad, the translation of the description into numeric symbols.



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That should really seem straightforward and not be difficult to produce as written. Here is an attempt to give more help:

180-d is the supplement of measure d, because that fits the definition of "supplementary angles". The sum of angles being 180 degrees means the angles are supplementary.

Let d = the measure of the angle.
180-d = the supplement of the angle with measure d.

20 degrees more than 3 times the measure of angle d,
is symbolized as 20%2B3%2Ad; simple as that; no other way to explain. Remind, d is the original angle.

The description contains, "is". That is what links one number to the other number; the equality.

highlight_green%28180-d=20%2B3d%29.
Solve for d, which is the measure of the angle; the measure which everything in the description refers.