Question

find the angles of the polygon​

Answer 1

Answer:

w=50 degrees, x=100 degrees, y=130 degrees, z=130 degrees

Step-by-step explanation:

sum of angles of a triangle=180

80+50+w=180

w=50

exterior angle of a triangle=sum of opposite interior angles

z=80+50=130

x=50+50=100

y=80+50=130

Answer 2

Answer:

Step-by-step explanation:

→ ∠ x = ?

→ x + 80° = 180°    [linear pair]

→ x = 180° - 80°

→ x = 100°

→ ∠ z = ?

→ z + 50° = 180°     [linear pair]

→ z = 180° - 50°

→ z = 130°

→ Now in a triangle sum of all angles are 180°

→ 50° + 80° + w = 180°

→ 130° + w = 180°

→ w = 180° - 130°

→ w = 50°

→ ∠ y = ?

→ w + y = 180°    [linear pair]

→ 50° + y = 180°

→ y = 180° - 50°

→ y = 130°