Ask a New Question
Menu

Use the image to answer the question.

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

10
10

50
50
Skip to navigation

1 answer

To solve for the value of \( x \), we need to use the information given about the complementary angles. Complementary angles add up to 90 degrees.

We have one angle measuring \( 25^\circ \) and the other angle measuring \( 5x \) degrees. According to the complementary angles, we can set up the following equation:

\[ 25 + 5x = 90 \]

Now, let's solve for \( x \):

  1. Subtract \( 25 \) from both sides:

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

  1. Now, divide both sides by \( 5 \):

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

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