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.
If the complement of a certain angle is three times...
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Hi LUANDATO,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.
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.
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Recall that complementary angles add to 90 degrees. If we let x = the angle, we see that its complement is 90 - x, and the measure of that complement is 3x. Thus, we can create the equation:BTGmoderatorLU wrote: ↑Wed Oct 25, 2017 3:49 pmIf 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.
3x = 90 - x
3x + x = 90
4x = 90
x = 90/4 = 45/2 = 22.5 degrees
Answer: C
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