The parking spaces in a city lot were created by painting rows of parallel line segments, then painting a line that cuts through each of the parallel segments. A sketch of two parking spaces is shown below. 2 diagonal parallel lines are cut by a horizontal transversal. Where the first parallel line intersects the transversal, the top right angle is angle 1. Where the second parallel line intersects the transversal, the top left angle is angle 2. If m∠2 = 115°, what is m∠1?

65°

Step-by-step explanation:

The consecutive interior angles theorem states that if two parallel lines are cut by a transversal line then the resulting pair of consecutive angles formed are supplementary (that is they add up to 180°).

Given that the painting rows are parallel to each other and a painted line (transversal) cut the parallel lines forming consecutive interior angles m∠1 and m∠2. Therefore:

m∠1 + m∠2 = 180°

m∠1 + 115 = 180

m∠1 = 180 - 115

m∠1 = 65°

for the first question it would be the second answer for the second question it would be the third answer and for the third question it would be the first answer

step-by-step explanation: