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In the following picture, how many pieces can be pasted when

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by Max@Math Revolution » Tue Nov 12, 2019 11:20 pm
[GMAT math practice question]

In the following picture, how many pieces can be pasted when the shapes shown on the left are pasted as shown on the right?

A. 4
B. 6
C. 8
D. 10
E. 12

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by Max@Math Revolution » Fri Nov 15, 2019 12:18 am
=>

When we put two trapezoids together as follows, we have ∠ x = 360° - 2*105° = 75° and ∠ BAC = 30°.

Image

Since 360°/30° = 12, we can put in 12 triangles or 12 trapezoids.

Therefore, E is the answer.
Answer: E
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