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°

The value of x is 24.2°.

how do you know

We know that the sum of complementary angles is 90 degrees. In this diagram, x and its complement form a pair of complementary angles. Therefore, we can set up the equation:

x + (90-x) = 90

Simplifying the equation, we get:

x + 90 - x = 90

Combining like terms, we get:

90 = 90

This equation is true for any value of x. Therefore, the value of x can be any number.