4 Answers | Add Yours
Here's how to set this up. First you remember that complementary angles add up to 90 degrees, right?
So then you set up your equation using your other data. We'll call one angle's measure "x" -- that will be the smaller one. And we know that the other one is 15 degrees more than twice x. How do you put that in mathematical terms? Twice x is 2x, 15 more is +15.
So that gives us
90 = x + 2x + 15
So now we need to get all the x's on one side and the numbers on the other. Subtract 15 from both sides.
x + 2x = 75 or 3x = 75.
Now you have to divide both sides by 3 so as to solve for x
x = 25
To check this, plug the numbers into the original equation.
15 more than twice 25 is 50+15 = 65.
So one of our angles is 25 degrees and the other is 65 (twice 25 + 15). Those add up to 90 degrees so they're complementary.
First let " x " represent the smaller angle
First we should set up the equation. Since complementary angles add up to 90 degrees the equation should look like
90 = x + 2x + 15 now combine the like terms
By combining the like terms, your equation should be
90 = 3x + 15 now subtract 15 on both sides
By subtracting, your equation should be
75 = 3x now divide 3 on both sides
By dividing, your equation should be
25 = x
so the smallest angle = 25 degrees
2 angles are complementary. the measure of one angle is 15 degrees more than twice the other. What is the measure of the smaller angle?
Lets call the two angles x and y.
x + y = 90 (Definition of complementary angles.)
x = 2y + 15
Given the two equations, its simple enough to solve for x.
2y + 15 + y = 90
3y = 90 - 15 = 75
y = 75/3 = 25
x = 2(25) + 15 = 50 + 15 = 65
Since complementary angles add up to 90 degrees you are looking to find the sum of two angles that add up to 90 degrees.
Let's call the small angle X. You said the bigger one is twice the small one plus 15. So twice X is 2a and 15 more is 2X+15.
So the equation is :
Because the small angle is X the bigger one 2X+15.
Adding the Xs together you get
Subtracting 15 from both sides gives you
Dividing both sides by 3 makes X become 25.
So your smaller angle is 25 degrees.
We’ve answered 317,341 questions. We can answer yours, too.Ask a question