Question

In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.Tell whether each statement is True or False.

Answer 1

a. True.

b. False.

c. True.

d. True.

e. True.

Explanation:

a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.

b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.

c. This statement is true because angles 5 and 1 correspond to each other.

d. This statement is true because angles 7 and 8 form a straight line.

e. This statement is true because they are interior angles that are alternate.

Hope this helps!

Answer 2

a. True, because they are corresponding angles.

b. False, because angles 1 and 2 are supplementary, meaning that they add up to 180 degrees, but 125 + 65 = 190 degrees.

c. True, because they are corresponding angles.

d. True, becuase they are two angles that add up to 180 degrees.

e. True, because they are both interior angles on opposite sides of the transversal.