SOLUTION: Two angles are supplementary. One angle measures 12degrees more than the other. Find the measures of the angles.

Question 94082This question is from textbook Geometry
: Two angles are supplementary. One angle measures 12degrees more than the other. Find the measures of the angles. This question is from textbook Geometry

Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
Two angles are supplementary. One angle measures 12degrees more than the other. Find the measures of the angles.

Answer:
If the two angles add to 180�, we say they "Supplement" each other.

Assume that one angle = X degrees.

The other angle = X + 12 degrees ( it is given that other angle is 12 degrees more than the first one)

Since supplementary angles add to 180 degrees, we can write,

X + ( X + 12 ) = 180

==> X + X + 12 = 180

==> 2X + 12 = 180

Subtract 12 from both sides

==> 2X + 12 - 12 = 180 - 12

==> 2X = 168

Divide both sides by 2

==>

==> X = 84

That is one angle is 84 degrees

So the other angle is X +12 = 84 + 12 = 96 degrees.

So the supplementary angles are, and

Hope you found the explanation useful.

Regards.

Praseena.

RELATED QUESTIONS
Two angles are supplementary. One angle measures 12 degrees more than the other. Find the (answered by checkley77)

Two angles are supplementary. One angle measures 12 degrees more than the other. Find the (answered by checkley77)

two angles are supplementary. one angle measures 12 more than the other. find the... (answered by cleomenius)

two angles are supplementary. One angle measures 12� more than the other. Find the... (answered by rfer,stanbon)

Two angles are supplementary. One angle measures 10 more than 9 times the other. Find the (answered by stanbon)

Two angles are supplementary. One angle measures 26degrees more than the other one. Find... (answered by checkley75,funmath)

Two angles are supplementary. One angle measures 12 degrees more than the other. Find the (answered by rfer)

Two angles are supplementary. One angle measures 12 degrees more than the other. Find the (answered by waynest)

Two angles are supplementary. One angle is 15� more than three times the other angle.... (answered by nerdybill)