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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).
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i still don't understand the question, can someone please help me with this :angel:
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i still don't understand the question, can someone please help me with this :angel:

The question asks for the largest number of "adjacent" angles that'll help us get extra my 120°.

The angles here are x, 2x, 3x, 4x, 6x, and 8x (sequentially)

If we are to choose any adjacent angles they have to be next to each other in the above sequence. (eg. X, 2x, and 3x are adjacent but x, 3x and 4x are not all adjacent)

Now, we are supposed to tell how many such angles (maximum) can make up 120°.

From the official solution, I believe you understand how 24x = 360° and hence 8x = 120°.

So can you form a sum of 8x from the sequential list that we prepared (x, 2x, 3x, 4x, 6x and 8x) such that all such angles are adjacent.

No. You cannot. Try it out.

X+2X+4x= 8x but these angles aren't adjacent.

Hence, we find only 8x (one angle) that forms EXACTLY 120°. Hence the answer is 1.

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