Question

Two workers paint lines for angled parking spaces. One worker paints a line so that m∠1=65. The other worker paints a line so that m∠2=65. Are their lines parallel? Explain your answer.

Answer 1

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.