Question

PLEASE ANSWER ASAP IF ANSWERED WITHIN 10 MINUTES I WILL GIVE BRAINLIEST

Answer 1

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°.

Answer 2

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°