Horizontal lines e and f are intersected by lines a and b. At the intersection of lines a and e, the uppercase left angle is 75 degrees. At the intersection of lines b and e, the uppercase right angle is 115 degrees. At the intersection of lines a and f, the bottom right angle is 75 degrees.

Which lines are parallel? Justify your answer.


Lines a and b are parallel because their alternate exterior angles are congruent.

Lines a and b are parallel because their same side exterior angles are supplementary.

Lines e and f are parallel because their alternate exterior angles are congruent.

Lines e and f are parallel because their same side exterior angles are congruent.

Respuesta :

Lines e and f are parallel because their alternate exterior angle is congruent. Option C is correct.

Find the diagram attached;

The point where two lines meet is known as an angle.

  • From the given diagram, we can see that the angle of 75 degrees is at the top left corner is similar to the 75 degrees down right.

  • Hence we can conclude that lines e and f are parallel because their alternate exterior angle is congruent.

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Answer: Option 3 or C. Lines e and f are parallel because their alternate exterior angles are congruent.

Step-by-step explanation: The correct answer is C.  

I got it right on the Edge 2022 quiz. Trust me the proof is shown below.

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