The car is faster because it’s 120km/hr, wile the train is 75km/hr
Answer:
a) ∠2 and ∠4 are a linear pair
∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
∠7 = 65°
c) ∠2 and ∠3 are vertical angles
∠3 = 65°
Step-by-step explanation:
Linear pair : a pair of adjacent angles formed when two lines intersect. The two angles of a linear pair are always supplementary (two angles whose measures add up to 180°)
Alternate exterior angles : when two parallel lines are cut by a transversal (a line that intersects two or more other, often parallel, lines), the resulting alternate exterior angles are <u>congruent</u>.
Vertical angles : a pair of opposite angles formed by intersecting lines. Vertical angles are always <u>congruent.</u>
a) ∠2 and ∠4 are a linear pair
⇒ ∠2 +∠4 = 180
⇒ 65 + ∠4 = 180
⇒ ∠4 = 180 - 65
⇒ ∠4 = 115°
b) ∠2 and ∠7 are alternate exterior angles
⇒ ∠2 ≅ ∠7
⇒ ∠7 = 65°
c) ∠2 and ∠3 are vertical angles
⇒ ∠2 ≅ ∠3
⇒ ∠3 = 65°
