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
10
10
65
65
50
50
13
To find the value of x, we can set up an equation using the fact that the two angles are complementary, which means they add up to 90 degrees:
25 + 5x = 90
Now, subtract 25 from both sides:
5x = 90 - 25
5x = 65
Finally, divide both sides by 5:
x = 65 / 5
x = 13
So, the value of x is 13.