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I have already answered part a I only need help with parts b & c

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

(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 right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

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wagonbelleville wagonbelleville · Answer 1 · 2019-02-08T11:22:44+01:00

Answer:

B. 75°

C. 105°

Step-by-step explanation:

We are given the figure of parallel lines with a line intersecting both of them as shown in the figure below.

B) We have, the car going south-west on King Avenue turns left onto 3rd street.

As, the lines representing 3rd street and 4th street are parallel. Their corresponding angles will be equal.

So, ∠1 = 75°

As, King Avenue intersects 3rd street, the vertical angles will be equal.

So, ∠2 = ∠1 = 75°

Thus, the angle made by the car's turning is 75°.

C) We have, the car going north-east on King Avenue turns right onto 3rd street.

As, the sum of angles on a straight line is 180°.

So, ∠2 + ∠3 = 180°

i.e. ∠3 = 180° - ∠2

i.e. ∠3 = 180° - 75°

i.e. ∠3 = 105°

Thus, the angle made by the car's turning is 105°.

Cutiepatutie Cutiepatutie · Answer 2 · 2020-02-13T19:20:40+01:00

FOR A

∠a+75°=180°

∠a=180°-75°

∠a=105°

FOR B

Angle b is the car's turn, 3rd and 4th street are parallel so the corresponding angles have equal measures so ∠b=75°.

FOR C

∠c+75°=180°

∠c=180°-75°

∠c=105°

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