If the ratio of measures of two adjacent angles of a parallelogram is 1 : 2, find measures of all angles of the parallelogram.
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Solution :-
In parallelogram, sum of adjacent angles =180
Given they are in ratio 1:2.
∴x+2x=180
⇒3x=180
⇒x=60
∴ the angles are 60
∘
,120
∘
,60
∘
,120
∘
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