# Adjacent angles of a parallelogram are in the ratio of 1:2.find the measures of all the angles of the parallelogram.....

2
by nirmitilambhate

2016-03-17T15:00:49+05:30

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Let the adjacent angles be x,2x
Sum of adjacent angles of a parallelogram is 180°
⇒x+2x=180°
⇒3x=180°
⇒x=180°/3
⇒x=60°.
Opposite angles of a parallelogram are equal,
Therefore the angles are 60°,120°,60°,120°
2016-03-17T15:37:29+05:30

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Adjecent angles of a parallelogram = 180 °
their ratio =1:2
1a+2a=180
3a=180
a=180/3
a=60
4 angles are 60,120,60,120