two adjacent angles of a parallelogram Rs 1:2 find the measures of all the angles of the parallelogram
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Answer:
Let us take rhe given ratio be x:2x.
And we know that the sun of adjacent angles of a llgm is 180°.
So , ATQ , x + 2x = 180°.
or 3x = 180°.
or x = 180°/3.
Therefore x = 60°.
So, first angle = x = 60°.
second angle = 2x = 120°
Also, we know that the opposite angles are equal.
Therefore all angles of llgm are 60° , 120°, 60° & 120°.
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Step-by-step explanation:
let the ratio be x
1x
2x
=1x+2x= 180 sum of adjacent angle
=3x = 180
=x = 180/3
= x = 60
so 1x= 1*60
= 60
and 2x = 2*60
= 120
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