SOLUTION: in equilateral triangle one angle measures 3x+y the other 2x+40 and the third 2y. what is x and what is y

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Question 391153: in equilateral triangle one angle measures 3x+y the other 2x+40 and the third 2y. what is x and what is y
Found 3 solutions by mananth, tech9, richard1234:
Answer by mananth(16949)   (Show Source): You can put this solution on YOUR website!
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Answer by tech9(1)   (Show Source): You can put this solution on YOUR website!
in equilateral triangle one angle measures 3x+y the other 2x+40 and the third 2y. what is x and what is y
Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
Each angle must measure 60 degrees. Therefore, 2y = 60 --> y = 30.

Now use the first angle 3x + y, replace y with 30. It is equal to 60, so x is 10.

The remaining angle, 2x+40, is already equal to 60 since if we replace x with 10, we get 60.

So, x = 10, y = 30.

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