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

13
13

10
10

65
65

50

Answer 1

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

One angle is 25 degrees, so the other angle can be represented as 5x degrees.

25 + 5x = 90

To solve for x, we can subtract 25 from both sides of the equation:

5x = 65

Finally, we can divide both sides of the equation by 5 to solve for x:

x = 13

Therefore, the value of x is 13.