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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

13
13

65
65

50
50

10

1 answer

To solve for the value of \( x \), we need to remember that complementary angles add up to \( 90 \) degrees.

Given the angles are \( 25 \) degrees and \( 5x \) degrees, we can set up the following equation:

\[ 25 + 5x = 90 \]

Now, we will solve for \( x \):

  1. Subtract \( 25 \) from both sides: \[ 5x = 90 - 25 \] \[ 5x = 65 \]

  2. Divide both sides by \( 5 \): \[ x = \frac{65}{5} \] \[ x = 13 \]

Therefore, the value of \( x \) is \( 13 \). The answer is:

13