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All numbered streets runs parallel to each other. Both 3rd and 4th streets are intersected by king ave. As shown

Sagot :

Answer:

(a)  

∠(a) = 105°

(b)  ∠(b) = 75°

(c)  

∠(c) = 105°

Step-by-step explanation:

Complete Question

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

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

Also find the attachment

Solution

(a)  

∠(a) + 75° = 180°

∠(a) = 180° - 75°

∠(a) = 105°

(b) As we can see the 3rd and 4th street are parallel thus the corresponding angle will be equal  

Thus, ∠(b) = 75°

(c)  

∠(c) + 75° = 180°

∠(c) = 180° - 75°

∠(c) = 105°

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