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