In the given figure p is parallel to q and l is a transversal. Find the value of x and y
Answers
Given : p is parallel to q and l is a transversal.
To Find : Value of x and y
Solution:
Properties of angles formed by transversal line with two parallel lines :
• Corresponding angles are congruent.
• Alternate angles are congruent. ( Interiors & Exterior both )
• Co-Interior angles are supplementary. ( adds up to 180°)
(6x + y) and (x + 5y) are Corresponding angles
=> 6x + y = x + 5y
=> 5x = 4y
4x and (6x + y) form a linear pair
=> 4x + 6x + y = 180
=> 10x + y = 180
=> 2(5x) + y = 180
=> 2(4y) + y = 180
=> 9y = 180
=> y = 20
5x = 4y
=> 5x = 4(20)
=> x = 16
x = 16 and y = 20
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