find the angles of the polygon
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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
Answered by
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°
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