SOLUTION: I need some help translating this problem. an angle is twice as large as another. The ratio of the supplement of the smaller angle to the supplement of the larger angle is

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Question 501924: I need some help translating this problem.
an angle is twice as large as another. The ratio of the supplement of the smaller angle to the supplement of the larger angle is 4:3. Find the measure of the smaller angle.
I am kind of stuck, and I would like it if you can please give me the equation to start off solving this problem.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The larger angle:

The smaller angle:

The supplement of the larger angle:

The supplement of the smaller angle:

But since we are given that , we can re-write the expression for the supplement of the larger angle as

Then, the ratio of the supplement of the smaller to the supplement of the larger is:



Just cross multiply, collect like terms, and solve for , then calculate

John

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