Question

in the figure l is parellel to line m ,find the value of b​

Answer 1

Given,

=> Line L is parallel to Line M.

Concept Involved,

=> Angles formed on opposite sides of a transversal that intersects a pair of parallel lines are called interior alternate angles.

=> Interior alternate angles are equal.

Hence,

=> ∠2a= 80 degrees (They are interior alternate angles, line L is parallel to M)

=>∠a = 80/2 => ∠a = 40 degrees

=> Similarly, ∠a = ∠b (Interior alternate angles)

=> 40 degrees = ∠b

=> ∠b = 40 degrees.

=> So, the value of b is 40 degrees.