All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown: *All answers are from the point of view from being inside the car* complete sentences

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

(b) Suppose a car is traveling southwest on King Avenue and turns left onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

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

Pls work it out for me I'm VERY confused.

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°

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step-by-step explanation:

m

1

=

5

m1=5

b

=

−

1

b=-1

find the slope and y-intercept of the second equation.

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m

2

=

0

m2=0

b

=

−

6

b=-6

compare the slopes

m

m of the two equations.

m

1

=

5

,

m

2

=

0

m1=5,m2=0

compare the two slopes in the decimal form. if the slopes are equal, then the lines are parallel. if the slopes are not equal, then the lines are not parallel.

m

1

=

5

,

m

2

=

0

m1=5,m2=0