SOLUTION: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.

Question 147554: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.
Found 2 solutions by jim_thompson5910, mangopeeler07:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Complementary angles add up to 90 degrees. So let x be the complement to angle y. Since "The measure of angle Y is twice the measure of its complement", this means that . Also, since the two angles add up to 90, this means that

Plug in into the second equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Combine like terms on the left side

Divide both sides by 3 to isolate x

Divide

Now that we know that , we can plug this into to find

Substitute for each

Simplify

So our answer is and . So the measure of the complement of angle y is 30 degrees.
Answer by mangopeeler07(462) (Show Source): You can put this solution on YOUR website!
complementary angles add up to 90 degrees. So first, set up and equation that says that The measure of angle Y plus its complement equals 90. Make sure that y represents y and not its complement. . Then combine like terms and get . Isolate the variable by multiplying both sides 2/3. You should get . Again, that is y, and not its complement. So you can either do (1/2)y or (1/2)60 and get 30, or you can do 90-60 and get 30. Either way, .
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