Two complementary angles have measures ( 2x ) and ( 3x ). wut is da value of x and da two angle measures?

Question

x = ____ ( 2x ) = ____, and ( 3x ) = ____

Answer 1

Two angles are complementary if the sum of their measures is 90 degrees. Given the angles are \(2x\) and \(3x\), we can set up the equation:

\[ 2x + 3x = 90 \]

Combining like terms gives us:

\[ 5x = 90 \]

Now, solving for \(x\):

\[ x = \frac{90}{5} = 18 \]

Now that we have the value of \(x\), we can find the measures of the angles:

1. For \(2x\): \[ 2x = 2 \times 18 = 36 \text{ degrees} \]

2. For \(3x\): \[ 3x = 3 \times 18 = 54 \text{ degrees} \]

So, the values are:

• \(x = 18\)
• \(2x = 36\) degrees
• \(3x = 54\) degrees

Final answer:

• \(x = 18\)
• \( (2x) = 36 \)
• \( (3x) = 54 \)