In the given figure, l∥ m and a transversal t cuts them. If 1 = 120^o , find the measure of each of the remaining marked angles.

Vertically opposite angles: Vertical angles are generated by intersecting lines that form a pair of opposite angles that are equal to each other.

Corresponding angles are a pair of equal angles formed when two parallel lines are intersected by a transversal line.

Linear pair: If the angles are next to each other after the two lines intersect, they are considered to be linear. A linear pair's sum of angles is always equal to 180°

∠1=∠3 [Vertically opposite angles]

⇒∠3=120°

∠1=∠5 [Corresponding angles]

⇒∠5=120°

∠5=∠7 [Vertically opposite angles]

⇒∠7=120°

∠1+∠2=180° [Linear pair]

⇒120°+∠2=180°

⇒∠2=180°-120°

⇒∠2=60°

∠2=∠4 [Vertically opposite angles]

⇒∠4=60°

∠4=∠8 [Corresponding angles]

⇒∠8=60°

∠8=∠6 [Vertically opposite angles]

⇒∠6=60°