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

1 answer

The incorrect solution is B. 4x - 2 + 3x + 6 = 180.

In this equation, the student mistakenly added the angles instead of setting them equal to 180 degrees. The correct equation should be 4x - 2 + 3x + 6 = 180, not 7x + 4 = 180.

Therefore, the solution x = 25.1 is incorrect because it is based on the erroneous equation.