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