Question

Two angles are complementary to each other. one angle measures 23°, and the other angle measures (6x − 20)°. determine the value of x. 7.2 7.8 14.5 29.5

Answer 1

The value of x is 14.5

Step-by-step explanation:

Two angles are complementary when the sume of their values is 90º, so we'd have:

`23+(6x-20)=90\\6x+3=90\\6x=87\\x=(87)/(6)=14.5`

Answer 2

To determine the value of x, we need to set up the equation 23° + (6x − 20)° = 90°. By simplifying and solving the equation, we find that x = 14.5°.

Step-by-step explanation:

To determine the value of x, we need to find the complement of the angle that measures (6x − 20)°. Since two angles are complementary, their sum should be equal to 90°.

So, we can set up the equation: 23° + (6x − 20)° = 90°.

Now, solve for x by simplifying the equation:.

23° + 6x − 20° = 90°.

Combine like terms: 6x + 3° = 90°.

Subtract 3° from both sides: 6x = 87°.

Divide both sides by 6: x = 14.5°.

Therefore, the value of x is 14.5.