Question

from the given figure calculate the value of x and y​

Answer 1

Answer:

x&y=130°

Step-by-step explanation:

y=130°(Vertically Opposite Angles)

x=y(Alternate Intireor Angles)

x=130°

THEREFORE,THE VALUE OF X&Y is 130°

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Answer 2

Given :  Two parallel lines cut by a transversal  

To Find :  value of x and y​

Solution:

x and 50°  forms  a linear pair

=> x + 50° = 180°

=> x = 130°  

or x & 130° are Corresponding angles

=>  x = 130°  

x  & y  are   Alternate interior angles

=> y = x

=> y = 130°

or y & 130° are vertically opposite angle

Hence y = 130°

Value of x & y = 130°

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°)

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