SOLUTION: Here is a question that was on my homework. I am not sure how to solve it. The measure of the two angles is 180. Twice the measure of angle x equals three times the measure of an

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Question 16166: Here is a question that was on my homework. I am not sure how to solve it. The measure of the two angles is 180. Twice the measure of angle x equals three times the measure of angle w. What are the measure of angles x and w?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
What you have is two equations with two unknowns.
2x= 3w
x+w= 180

You can solve by substitution or elimination in several different ways, but probably the easiest way is to solve for x in the second equation and get
x= 180-w.

Substitute this back into the equation:
2x= 3w
2(180 - w) = 3w
360 - 2w = 3w

Add +2w to each side:
360 = 5w

Divide both sides by 5:
360%2F5+=+%285w%29%2F5
72 = w
w= 72 degrees
x= 180-w
x=180-72= 108 degrees

Check: make sure that
2x= 3w
2(108) = 3(72)
216 = 216


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