Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.(a) Suppose a car is traveling east on 4th Street and turns onto King Avenue heading northeast. What is the measure of the angle created by the car's turning? Explain your answer.

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Anonymous Anonymous · Answer 1 · 2017-03-08T06:23:41-05:00

105 is the angle a full angle is 180 degrees subtract the 75 you have to get 105
Good luck

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athleticregina athleticregina · Answer 2 · 2019-02-18T02:35:47-05:00

Answer:

The measure of the angle created by the car's turning is 105°

Step-by-step explanation:

Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.

We have to calculate the measure of the angle created by the car's turning.

Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.

Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image

Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.

AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees

Therefore, at B,

∠ABC + ∠CBD = 180°

Aldo given , ∠CBD = 75°

Thus, the measure of ∠ABC is ,

⇒ ∠ABC = 180° -∠CBD

⇒ ∠ABC = 180° - 75°

⇒ ∠ABC = 105°

Thus, the measure of the angle created by the car's turning is 105°