Question

Short Answer

Note: Your teacher will grade your response to ensure you receive proper credit for your answers.
Which solution for the value of x in the figure below is incorrect? Explain.


GEOA_03_L10_Q17
The angle adjacent below the top parallel line and adjacent right to the transversal is labeled left parenthesis 4 x minus 2 right parenthesis degrees.

The angle adjacent above the lower parallel line and adjacent left to the transversal is labeled left parenthesis 3 x plus 6 right parenthesis degrees.




A. 4x – 2 = 3x + 6 B. 4x – 2 + 3x + 6 = 180

x = 8 7x + 4 = 180

x = 25.1

Answers

Answered by GPT 3.5
The incorrect solution is B.

In solution B, the equation is set up incorrectly. Since the two angles are adjacent to each other, they must be supplementary (their measures add up to 180 degrees). However, in the equation 4x - 2 + 3x + 6 = 180, the angles are being added together, rather than being set equal to 180.

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