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Error Analysis: Two Parallel Lines Cut by a Transversal

Error Analysis: Two Parallel Lines Cut by a Transversal-example-1
Error Analysis: Two Parallel Lines Cut by a Transversal-example-1
Error Analysis: Two Parallel Lines Cut by a Transversal-example-2

1 Answer

6 votes

Answer:

Explain Mistake Made

The equations are set up to equal 180 degrees rather than equal to each other

Correct Work & Answer

(7x - 3) = (6x + 17)

+ 3. + 3

7x = 6x + 20

-6x -6x

x = 20

Step-by-step explanation:

They should be set equal to each other because both angles are congruent. Let (7x - 3) be A and (6x + 17) B. Angle A is congruent with the angle opposite to angle B. The opposite angle creates a vertical angle with angle B, hence they are congruent. Therefore, angle A and B are congruent and should equal each other rather than be set equal to 180. That would only be the case if they were supplementary angles.

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