Math, asked by RenaAlzaRodrigues, 4 months ago


one angle of a parallegram is two - third of the other Find the angles of the parallegram​

Answers

Answered by anushkasundriyal74
2

Answer:

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Answered by harshitamehrotra9d
0

Let x and y be two adjacent angles of a parallelogram.

According to the question,

⇒  x=32y           ----- ( 1 )

We know in parallelogram, sum of adjacent angles are supplementary. 

∴  x+y=180o.

⇒  32y+y=180o             [ From ( 1 ) ]

⇒  2y+3y=540o

⇒  5y=540o

⇒  y=108o.

Substituting value of y in equation ( 1 ) we get,

⇒  x=32×108o

⇒  x=72o

We know that, in parallelogram opposite angles are equal.

∴  Four angles of parallelogram are 108o,72o,108o and 72o.

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