Question

On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.

A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?

In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.

Answer 1

X=105°

Y=105°

Z=105°

let the angle below 75° which is the 4th Street be A

75°+A=180°[being adjacent angle]

A=105°

X=A[Verticall opposite angle]

Z=A[Corresponding angle]

Y=X[alternate angle]