Answer:
B. 75°
C. 105°
Step-by-step explanation:
We are given the figure of parallel lines with a line intersecting both of them as shown in the figure below.
B) We have, the car going south-west on King Avenue turns left onto 3rd street.
As, the lines representing 3rd street and 4th street are parallel. Their corresponding angles will be equal.
So, ∠1 = 75°
As, King Avenue intersects 3rd street, the vertical angles will be equal.
So, ∠2 = ∠1 = 75°
Thus, the angle made by the car's turning is 75°.
C) We have, the car going north-east on King Avenue turns right onto 3rd street.
As, the sum of angles on a straight line is 180°.
So, ∠2 + ∠3 = 180°
i.e. ∠3 = 180° - ∠2
i.e. ∠3 = 180° - 75°
i.e. ∠3 = 105°
Thus, the angle made by the car's turning is 105°.
