Answer:
A. ∠1 = 105°
B. ∠2 = 105°
C. ∠1 = 105°
Step-by-step explanation:
We are given the angle made by the 4th street with King's Avenue is 75° as shown in the figure below.
Ques A: It is given that, Car travelling west on the 4th street turns towards south on the King's Avenue.
So, the required angle is ∠1.
Since, The sum of angles formed on a straight line is 180°.
Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°
Thus, ∠1 = 105°
Ques B: It is given that, Car travelling southwest on King's Avenue and turns right on 3rd street.
So, the required angle is ∠2.
We have, 'Corresponding anges of two parallel lines are equal' and 'The sum of angles formed on a straight line is 180°.
Then, ∠2 + 75° = 180° i.e. ∠2 = 180-75 = 105°
Thus, ∠2 = 105°
Ques C: It is given that, Car travelling northeast on King's Avenue and turns right on 4th street.
So, the required angle is ∠1.
Since, The sum of angles formed on a straight line is 180°.
Then, ∠1 + 75° = 180° i.e. ∠1 = 180-75 = 105°
Thus, ∠1 = 105°
