Geometry, SAT – angle relationships

Q: In the diagram below, what is the value of x?
 
 
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Answer: 40
Explanation: The interior angle adjacent to 70 is 110. The other interior angle is 30 (from 180-150). Together, these two interior angles are 140. Subtract from 180.  The third angle of the triangle is 40.  x is a vertical angle to the 40, so it is also 40.
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