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

50
50

10
10
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1 answer

To find the value of x, we know that the sum of the two complementary angles must equal 90 degrees.

So, 25 degrees + 5x degrees = 90 degrees.

Simplifying this equation gives us:

5x + 25 = 90

Subtracting 25 from both sides gives us:

5x = 65

Finally, dividing both sides by 5 gives us:

x = 13

Therefore, the value of x is 13.