Question

Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.

Answer 1

Explanation

since they are complementary their angles should add up to 90.

18+(8x-28)=90

you solve from there

add common values

8x-10+90

add 10 to both sides

8x=100

divide by 8

x=12.5

Answer 2

The answer is:

x = 12.5

Work/explanation:

Since we're given both angles, we can set up an equation and find x.

The sum of two complementary angles is 90°.

Now, set up the equation:

`\sf{8x-28+18=90}`

`\sf{8x-10=90}`

Add 10 on each side

`\sf{8x=100}`

Divide each side by 8

`\sf{x=12.5}`

Hence, x = 12.5