Question

Consider the diagram of complementary angles.



What is the value of x?

(1 point)
Responses

6.2°
6.2 degrees

59°
59 degrees

11.8°
11.8 degrees

24.2°

Answer 1

We cannot accurately determine the value of x without a diagram or any additional information.

Answer 2

One line says 5x and on the other side it says 31

Answer 3

If the diagram shows two complementary angles and one side of the angle is labeled as 5x and the other side is labeled as 31, we can set up an equation to solve for x.

Since the angles are complementary, their sum is equal to 90 degrees:

5x + 31 = 90

Subtract 31 from both sides:

5x = 90 - 31
5x = 59

Divide both sides by 5:

x = 59/5
x = 11.8

So the value of x is 11.8 degrees.