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
50
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Answer 1

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

So, we have:

25 + 5x = 90

Now, let's solve for x:

5x = 90 - 25

5x = 65

x = 65/5

x = 13

Therefore, the value of x is 13.