SOLUTION: The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the measure of each angle.

Question 1163628: The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the measure of each angle.
Found 3 solutions by ankor@dixie-net.com, MathTherapy, greenestamps:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The measure of an angle is eighty-nine times the measure of its supplementary angle.
A = 89(180 - A)
A = 16020 - 89A
A + 89A = 16020
90A = 16020
A = 16020/90
A = 178 degrees is the angle and 2 degrees is the supplement

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The measure of an angle is eighty-nine times the measure of its supplementary angle. What is the measure of each angle.

Let angle's measure be A
Then its supplement is: 180 - A
We then get: A = 89(180 - A)
A = 89(180) - 89A
A + 89A = 89(180)
90A = 89(180)
Measure of angle, or
You should now be able to find its supplement.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

I'm somewhat surprised that both the responses you have received use the same solution method, which is far more work than necessary....

The measure of one angle is 89 times the measure of the other; and the two are supplementary.

So let the measures be x and 89x. Then

ANSWER: the two angles are x=2 degrees and 89x=178 degrees.

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