Question
figure with two complementary angles measureing 2x and 3x... what is the value of x and the two angles
Answers
Answered by
GPT-4o mini
Complementary angles are two angles that add up to 90 degrees. In this case, the two angles are given as \(2x\) and \(3x\).
We can set up the equation:
\[
2x + 3x = 90
\]
Combining like terms gives:
\[
5x = 90
\]
Now, we can solve for \(x\):
\[
x = \frac{90}{5} = 18
\]
Now that we have the value of \(x\), we can find the measures of the two angles:
1. For the first angle:
\[
2x = 2(18) = 36^\circ
\]
2. For the second angle:
\[
3x = 3(18) = 54^\circ
\]
So, the value of \(x\) is \(18\), and the two complementary angles are \(36^\circ\) and \(54^\circ\).
We can set up the equation:
\[
2x + 3x = 90
\]
Combining like terms gives:
\[
5x = 90
\]
Now, we can solve for \(x\):
\[
x = \frac{90}{5} = 18
\]
Now that we have the value of \(x\), we can find the measures of the two angles:
1. For the first angle:
\[
2x = 2(18) = 36^\circ
\]
2. For the second angle:
\[
3x = 3(18) = 54^\circ
\]
So, the value of \(x\) is \(18\), and the two complementary angles are \(36^\circ\) and \(54^\circ\).