Solve Equations with Complementary Angles Quick Check

Question

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

Answer 1

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.