Use the image to answer the question.

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

50
50

65
65

10
10

13
13
Skip to navigation

Answer 1

To solve for the value of x, we need to use the fact that complementary angles add up to 90 degrees.

Given that one angle measures 25 degrees, the other angle measures 5x degrees.

Therefore, we can set up the following equation:

25 + 5x = 90

Now, we can solve for x:

5x = 90 - 25

5x = 65

x = 65/5

x = 13

Therefore, the value of x is 13.