Question

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:

Answer 1

Hey there!

(Part 1)  

Your question states: 

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.

180°-70°= 110° ✓

This person  would be driving 110° degrees. ✓

So, what we would do it do 180° subtracted by 70. We need to find how much he turns onto King Avenue heading northeast. So we do 180° because that would be considered a full half turn, so 180° subtracted by 70 and that would give you . . . 

180° - 70° = $\boxed{\boxed{110}}$

(Part 2)

Your question states: 

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.

This may be a little tricky on this side. These side's are coherent. As we know now that the angel on (King Ave.)  was 110°, we would say the on the (3rd angel through King Ave.) that angel as well would be 110° because that is the angel on top. This would mean that they would be the same. But the thing is, we are finding what is the angel when the car is traveling southwest on King Avenue and turns left onto 3rd Street. This angel would be 70° degrees because as we do 70° + 70° + 110° + 110° = 360°.

This is how we would know that this would be that angel going into (3rd Ave).

My steps: 360° - 110° - 110° = 140°.

140° ÷ 2 = ∡70° ✓

Your correct answer would be $\boxed{\boxed{70}}$

Step #3

Your question states: 

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

Your correct answer would equal 110°. ✓

My steps:

360° - 75° - 75° = 210°

210° ÷ 2 = 105° ✓

Your correct answer would be $\boxed{\boxed{105}}$
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I Hope this help you!
~Jurgen

Answer 2

Answer:

a) 105°; b) 75°; c) 105°

Step-by-step explanation:

The angle made by turning from traveling east on 4th street to King Avenue heading northeast is adjacent to the 75° angle given.  They form a linear pair, which has a sum of 180°.  This makes its measure

180-75 = 105°.

The angle formed by turning from traveling southwest on King Avenue to 3rd street is a corresponding angle to the 75° angle.  This means its measure is 75°.

The angle formed by traveling northeast on King Avenue to 3rd street is adjacent to the 75° angle in part b.  This makes them a linear pair, summing to 180°; this makes its measure 180-75 = 105°.