Math, asked by nishika2568, 9 months ago

Guys pls give me the correct answer with steps plssss pls help.​

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Answered by mkjharavian
7

Answer:

y + 135° = 180° ( Co - interior angles )

=> y = 180°-135°

=> y = 45°. ans......

Answered by Anonymous
7

\huge\sf\red { Given }

  • ' m || l ' and 't' is transversal

  • One angle is given 135° ( suppose it as ∠1)

\huge\sf\blue { To\: find- }

  • Value of angle y. ( suppose it as ∠2)

\huge\sf\pink { Concept \: used-}

Both ∠1 ( 135° ) and ∠2 is making Co interior angles.

[ Co-interior angles lie between two lines and on the same side of a transversal. ]

If the two lines are parallel, then co-interior angles add to give 180°

It means that ∠1 + ∠2 = 180°

\huge\sf\orange {Solution-}

Since ∠1 and ∠2 is forming co interior angles , so

\rm\purple {\implies 135° + y = 180° }

\rm\purple {\implies y = 180° - 135° }

\rm\red {\implies y = 45° }

\huge {\boxed {\rm {\orange { y = 45° }}}}

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