Consider the diagram of complementary angles.

Question

5x, 31

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

To find the value of x, we can use the fact that complementary angles add up to 90 degrees.

Given that one angle is 5x and the other angle is 31, we can set up the equation:

5x + 31 = 90

Subtracting 31 from both sides, we have:

5x = 90 - 31
5x = 59

Dividing both sides by 5, we get:

x = 59/5

Simplifying the fraction, we have:

x = 11.8

Therefore, the value of x is 11.8 degrees.

The correct answer is: 11.8°