Solve Equations with Complementary Angles Quick Check
3 of 53 of 5 Items
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
10
10
13
13
65
To find 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 and the other angle measures 5x degrees, we can set up the equation:
25 + 5x = 90
Subtracting 25 from both sides of the equation:
5x = 90 - 25
5x = 65
Dividing both sides of the equation by 5:
x = 65 / 5
x = 13
Therefore, the value of x is 13.