Question

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During a race, all members of a rowing team should keep the oars parallel to produce maximum speed. Let m∠1 = 6x + 18 and m∠2 = 9x +12, and x = 10.

What type of angle pair are angles 1 and 2? (3 points)
Find the measure of angles 1 and 2. Show your steps. (4 points)
Are the oars parallel? Which theorem would be used to prove that the oars are parallel? (3 points)

Answer 1

1. They are consecutive interior angles
2. 6x + 18 + 9x + 12 = 180
15x + 30 = 180
15x = 150
x = 10
3. Yes, they are parallel the consecutive interior angles converse