Question

in the figure PQ//RSand l is transversal then what will be the value of x​

Answer 1

Given : PQ || RS and l is transversal

To Find : Value of x

Solution:

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent.  

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Interior angles are supplementary. ( adds up to 180°)

x + 70  and 2x + 30   are Alternate angles

Hence

x + 70  = 2x + 30

=> 70 - 30  = 2x - x

=> 40 = x

=> x = 40

value of x​ = 40

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