Question

In the adjoining figure,if <2 = 135°, find <1, <3 and <4​

Answer 1

angle 2 + angle 1 = 180 (linear pair)

=> 135 + angle 1 = 180

=> angle 1 = 45°

angle 2 = angle 4 (vertically opposite angle)

=> angle 4 = 135 °

angle 1 = angle 3 (vertically opposite angles)

=> angle 1 = 45°

Answer 2

Answer:

∠1 = 45°

∠2 = 135°

∠3 = 45°

∠4 = 135°

Step-by-step explanation:

∠2 = ∠4 = 135°  ∵ they are vertical angle they are equal

∠3 = ∠1 = 180°-135° = 45° ∵ AB is a straight line it has ∠180°...... ∠2 and ∠3 combined to make st. line ∴ 180° - 135° and.........  ∠1 and ∠3 are verticall angles they are same