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An illustration shows a right angle. A ray extends from the right angle to create complementary angles. One angle measures 25 degrees. The other angle measures 5 x degrees. The angles are not labeled.

Solve for the value of x
.

(1 point)
Responses

10
10

13
13

50
50

65

1 answer

To solve for the value of \( x \), we need to remember that complementary angles sum to \( 90^\circ \).

Given:

  • One angle measures \( 25^\circ \).
  • The other angle measures \( 5x \) degrees.

We can set up the equation:

\[ 25 + 5x = 90 \]

Now, subtract \( 25 \) from both sides:

\[ 5x = 90 - 25 \] \[ 5x = 65 \]

Next, divide both sides by \( 5 \):

\[ x = \frac{65}{5} = 13 \]

So, the value of \( x \) is \( 13 \).

The answer is:

13