Question

in the given figure,AB//CD .find the values of a,b and c .​

Answer 1

Answer ::

• The value of a is 60°
• The value of c is 60°
• The value of b is 120°

Step-by-step explanation ::

To Find :-

• The value of a, b and c

Given that,

• ∠C = 120°
• AB || CD

Solution :-

• The value of a is,

=> ∠C + ∠a = 180° ... linear pair

=> 120° + ∠a = 180°

=> 120 + ∠a = 180

=> ∠a = 180 - 120

=> ∠a = 60

The value of a is 60°.

• The value of c is,

=> ∠a = ∠c ... opposite angles

=> 60° = ∠c

The value of c is 60°.

• The value of b is,

=> ∠a + ∠b = 180° ... adjacent angles

=> 60° + ∠b = 180°

=> 60 + ∠b = 180

=> ∠b = 180 - 60

=> ∠b = 120

The value of b is 120°.