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
10
10
65
65
13
13
50
50
The sum of complementary angles is always 90 degrees.
So, if one angle measures 25 degrees and the other angle measures 5x degrees, then the sum of the two angles is 25 + 5x.
Since they are complementary angles, their sum is 90 degrees.
Therefore, 25 + 5x = 90.
Subtracting 25 from both sides gives 5x = 65.
Finally, dividing both sides by 5 gives x = 13.
So, the value of x is 13.