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If the complement of a certain angle is three times the measure of tha

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Manager
Joined: 13 Jun 2016
Posts: 95
Location: United States
Concentration: Finance, Technology
If the complement of a certain angle is three times the measure of tha  [#permalink]

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11 Jul 2016, 13:35
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Difficulty:

35% (medium)

Question Stats:

56% (00:45) correct 44% (01:03) wrong based on 30 sessions

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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°
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4476
If the complement of a certain angle is three times the measure of tha  [#permalink]

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11 Jul 2016, 14:06
alpham wrote:
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°

Dear alpham
I'm happy to respond.

The source of this question is not clear to me, but I don't believe the question writers are very familiar with the GMAT. To the best of my knowledge, the word "complement" does not appear in the OG or any official materials. Yes, it's a valid word in the context of high school geometry, but this suggests that the question was written by someone who knows a lot about high school math but not a lot about the GMAT. Apparently, someone was trying to create a challenging question by using terminology that doesn't appear on the GMAT: this is typical of low quality GMAT practice Quant questions.

The complement of angle A is the angle which, when added to angle A, gives 90 degrees. The two acute angles of a right triangle are complements, for example.

The original angle is x, so the complement is 3x, and together, these add up to 90 degrees.

x + 3x = 90

4x = 90

x = 22.5°

Answer = (C)

Here's a high quality GMAT practice question:
repeated angles in nested triangles

Does this make sense?
Mike
_________________
Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
If the complement of a certain angle is three times the measure of tha   [#permalink] 11 Jul 2016, 14:06
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If the complement of a certain angle is three times the measure of tha

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