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# M70-07

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Math Expert
Joined: 02 Sep 2009
Posts: 55804

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03 Sep 2018, 02:51
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Difficulty:

45% (medium)

Question Stats:

50% (01:29) correct 50% (01:23) wrong based on 8 sessions

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In the figure above, what is the largest number of adjacent angles that can be combined to create a sum of 120 degrees?

A. 1
B. 2
C. 3
D. 4
E. 5

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Math Expert
Joined: 02 Sep 2009
Posts: 55804

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03 Sep 2018, 02:51
Official Solution:

In the figure above, what is the largest number of adjacent angles that can be combined to create a sum of 120 degrees?

A. 1
B. 2
C. 3
D. 4
E. 5

We’ll go for LOGICAL because there is a simple logic behind the question.

All the angles together make up a circle, which equals 360 degrees: $$24x = 360$$. Since we are looking for 120 degrees, we can divide the equation by 3 and arrive at $$8x = 120$$. There aren’t any adjacent angles that can be added to up to create 8, except the angle $$8x$$ itself. So the largest number of adjacent angles is 1.

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Joined: 03 Dec 2018
Posts: 1

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06 Dec 2018, 10:41
Isn't that the smallest number of adjacent angles? Largest number should be 3 (x + 2x + 3x).
Intern
Joined: 28 Aug 2018
Posts: 1

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20 Mar 2019, 15:12
Those would be less than 120 degrees (as x=15 --> x+2x=3x=6*15=90). The question asks for a sum of exactly 120 degrees (i.e. only 8x works).
M70-07   [#permalink] 20 Mar 2019, 15:12
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# M70-07

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