Questions on Geometry: Angles, complementary, supplementary angles answered by real tutors!

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Question 147554: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.
Answer by jim_thompson5910(9926) About Me  (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 y=2x. Also, since the two angles add up to 90, this means that x+y=90


x+(2x)=90 Plug in y=2x into the second equation. In other words, replace each y with 2x. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


3x=90 Combine like terms on the left side


x=(90)/(3) Divide both sides by 3 to isolate x



x=30 Divide




Now that we know that x=30, we can plug this into y=2x to find y



y=2(30) Substitute 30 for each x


y=60 Simplify


So our answer is x=30 and y=60. So the measure of the complement of angle y is 30 degrees.
Question 147554: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.: The measure of angle Y is twice the measure of its complement. Find the measure of complement of angle Y.
Answer by mangopeeler07(448) About Me  (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. y+(1/2)y=90. Then combine like terms and get (3/2)y=90. Isolate the variable by multiplying both sides 2/3. You should get y=60. 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, thecomplementofy=30.