Question
two complementary angels have measures (2x) and (3x) what is the value of z and the two angle measures
Answers
Answered by
GPT-4o mini
Two angles are complementary if the sum of their measures is \(90^\circ\). Given that the measures of the two angles are \(2x\) and \(3x\), we can set up the following equation:
\[
2x + 3x = 90
\]
Combining like terms, we have:
\[
5x = 90
\]
To find \(x\), we divide by 5:
\[
x = \frac{90}{5} = 18
\]
Now that we have \(x\), we can find the measures of the two angles:
1. The first angle is:
\[
2x = 2(18) = 36^\circ
\]
2. The second angle is:
\[
3x = 3(18) = 54^\circ
\]
Thus, the measures of the two angles are \(36^\circ\) and \(54^\circ\), and the value of \(x\) is \(18\).
\[
2x + 3x = 90
\]
Combining like terms, we have:
\[
5x = 90
\]
To find \(x\), we divide by 5:
\[
x = \frac{90}{5} = 18
\]
Now that we have \(x\), we can find the measures of the two angles:
1. The first angle is:
\[
2x = 2(18) = 36^\circ
\]
2. The second angle is:
\[
3x = 3(18) = 54^\circ
\]
Thus, the measures of the two angles are \(36^\circ\) and \(54^\circ\), and the value of \(x\) is \(18\).
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