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Mathematics

1 answer:

Sedbober [7]4 years ago

3 0

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.

<em>We have, 'Corresponding anges of two parallel lines are equal' and 'The sum of angles formed on a straight line is 180°.</em>

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°

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