Question

please step by step explanation ​

Answer 1

Answer:

(a) x = 105°, y = 75° and z = 130°

(b) x = 75° and y = 135°

Step-by-step explanation:

here, (a) x + 45° + 30° =180°          [vertically opposite angles]

           = x = 180° - 75°

           = x = 105°

now, y + x = 180°            [linear pair axiom]

     = y = 180° - 105°

     = y = 75°

hence, 100° + 30° = z              [exterior angle property]

         = 130° = z

         = z = 130°

(b) so, 35° + 40° = y          [exterior angle property]

        = 75° = y

        = y = 75°

now, y + 60° = x                [exterior angle property]

     = x = 60° + 75°

     = x = 135°

hope it will help you.

Answer 2

Step-by-step explanation:

In figure (a) x=180°-40°-30°=105°

y=180°-105°=75°

z=180°-50°=130°