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alpham
Joined: 13 Jun 2016
Last visit: 13 Jul 2025
Posts: 70
Given Kudos: 424
Location: United States (IL)
Concentration: Finance, Technology
Schools: Kellogg '26 CBS '26 Booth '26 Wharton '26
GRE 1: Q168 V167
GPA: 3.8
11 Jul 2016, 13:35
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
55% (00:46) correct
45%
(00:50)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
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°
A. 45°
B. 30°
C. 22.5°
D. 18°
E. 15°
11 Jul 2016, 14:06
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alpham
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
23 Jan 2020, 11:40
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alpham
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:
3x = 90 - x
3x + x = 90
4x = 90
x = 90/4 = 45/2 = 22.5 degrees
Answer: C
