Two complementary angles have measures (4x)°

Question

and (2x)°
. What is the value of x
and the two angle measures?(2 points)
x=__, (4x)°= __°, and (2x)°=__°

Answer 1

Two angles are complementary if their measures add up to 90 degrees. Given the angles are \( (4x)° \) and \( (2x)° \), we can set up the equation:

\[ 4x + 2x = 90 \]

Combining like terms gives:

\[ 6x = 90 \]

Now, solve for \( x \) by dividing both sides by 6:

\[ x = 15 \]

Now we can find the measures of the two angles:

1. For \( (4x)° \):

\[ 4x = 4(15) = 60° \]

2. For \( (2x)° \):

\[ 2x = 2(15) = 30° \]

So, the values are:

• \( x = 15 \)
• \( (4x)° = 60° \)
• \( (2x)° = 30° \)

Thus, the final answers are:

• \( x = 15 \)
• \( (4x)° = 60° \)
• \( (2x)° = 30° \)