SOLUTION: Two angles are supplementary if their sum is​ 180°. The larger angle measures sixsix degrees more than twicetwice the measure of a smaller angle. If x represents the measure
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Question 1110655: Two angles are supplementary if their sum is 180°. The larger angle measures sixsix degrees more than twicetwice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle
Found 4 solutions by ikleyn, josgarithmetic, TeachMath, greenestamps:
Answer by ikleyn(52921) (Show Source): You can put this solution on YOUR website!
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U N R E A D A B L E
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
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The larger angle measures six degrees more than twice the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle.
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TWO angles are:
x and 2x+6
Both are given as being supplementary.
-----solve this equation...
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******************MISREAD DESCRIPTION AND THOUGHT "TRIANGLE" LEAD TO THIS WRONG WORK BELOW**********************************
A triangle will NOT have TWO supplementary interior angles!
Try this way for your triangle.
x, the smaller angle
Larger Angle: 2x+6
Smaller Angle: x
Middle Angle (still variable): m
Then you can formulate an equation,
and simplify to
THIS is about all that can be done.
Answer by TeachMath(96) (Show Source): You can put this solution on YOUR website!
58 degrees and 122 degrees
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!
WOW!!
One tutor says your question is unreadable, even though all the tutors here know that sometimes for some reason words get doubled ("sixsix" and "twicetwice" in your message)...
Another tutor turns your problem into something it is not be trying to make a triangle with your two angles and a third angle.
And finally tutor teachmath gives his typical useless response, giving you the answer without showing you HOW to get the answer.
So let's try one more time to help you learn how to solve the problem.
Let x be the degree measure of the smaller angle.
Then the problem says the measure of the other angle is 6 more than twice the measure of the smaller angle, so the measure of the second angle is 2x+6.
Then the problem says the two angles are supplementary, which means the sum of their degree measures is 180. So
The smaller angle is x=58 degrees; the larger is 2x+6 = 2(58)+6 = 116+6 = 122 degrees.
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