Question

1. archaeology a farm lane in ohio crosses two long, straight earthen mounds that may have been built about 2000 years ago. the mounds are about 200 feet apart, and both form a 63° angle with the lane, as shown. are the mounds parallel? how do you know?

Explanation:

Step1: Recall parallel - line theorem

If corresponding angles formed by a transversal with two lines are equal, the two lines are parallel.

Step2: Identify angles

The angles that the two earthen mounds form with the farm lane are corresponding angles, and both are 63°.

Answer:

Yes, the mounds are parallel because the corresponding angles formed by the farm - lane (transversal) with the two mounds are equal (both 63°).