Question

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

50
50

65
65

10
10

13

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the value of x, we know that the angle measures must add up to 90 degrees because they are complementary.

We are given that one angle measures 25 degrees, so the other angle can be represented as 5x degrees.

Therefore, we can set up the equation:

25 + 5x = 90

Subtracting 25 from both sides gives:

5x = 65

Dividing both sides by 5 gives:

x = 13

So the value of x is 13.