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1). In given fig. Angle 1 = 120°
• Angle 1 = Angle 3 = 120°(vertically opposite angle)
• Angle 1 + Angle 2 = 180° (linear pair)
120° + Angle 2 = 180°
Angle 2 = 180° - 120°
Angle 2 = 60°
•Angle 2 = Angle 4 = 60° (vertically opposite angle)
• Angle 2 =angle 6 = 60° (corresponding angles )
•Angle 1 = Angle 5 = 120°(corresponding angles )
•Angle 3 = Angle 7 = 120°(corresponding angles)
Angle 4 = Angle 8 = 60°
2). In fig 2
We know that corresponding angles are equal so,
(3x -20)° = (2x + 10)°
3x - 2x = 10 + 20
x = 30°
3). In fig AB || BC and BC || DE
x° + 75° = 180°
x° = 180° - 75°
x° = 105°
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