Question

15. The complement of x ◦ is (90−x) ◦ .
always sometimes or never

Answer 1

What are complementary angles?

Answer 2

two angles that add up to 90 degrees

Answer 3

Great.
You have angle x. Let's say its complement is angle y.
Since you know their measures add up to 90 degrees, you can write
x + y = 90
Right?

Answer 4

right

Answer 5

Good. We said the complement is y.
Solve
x + y = 90 for y.
What do you get?

Answer 6

1-89 degrees

Answer 7

or 45 degrees if both are the same

Answer 8

No.
This is how you solve for y.
We want y.
x is being added to y, so we subtract x from both sides:

x + y = 90
-x - x
-----------------
y = 90 - x

Now we see that the complement, y, is 90 - x.
Now compare that with the statement of the problem.

Answer 9

oooh

Answer 10

I understand

Answer 11

that would be a never, correct?

Answer 12

The answer is always.

Answer 13

oh

Answer 14

oooh nvm

Answer 15

I get it now

Answer 16

thank you!

Answer 17

The problem states that the complement of x is 90 - x
We called the complement of x y, and we solved the equation and found out that y is 90 - x, exactly what the problem stated was the complement.
That means the answer is always.

Answer 18

You're welcome.