If the complement of a certain angle is three times the measure of that certain angle, then what is the measure of that certain angle?

A. 45°

B. 30°

C. 22.5°

D. 18°

E. 15°

The OA is C.

Can any expert explain this PS question for me please? I don't have it clear. Thanks.

Hi LUANDATO,
Let's take a look at your question.

We know that when two angles add to 90°, they are said to be complement of each other.
So, if a and b are complement of each other then,
$$a+b=90$$

The question states:
If the complement of a certain angle is three times the measure of that certain angle, then what is the measure of that certain angle?
Let the certain angle be 'x'.
Then,
$$x\ +\ 3x\ =\ 90°$$
$$4x=90°$$
$$x=\frac{90}{4}$$
$$x=22.5°$$

Therefore, Option C is correct.

Hope it helps.
I am available if you'd like any follow up.