n parallelogram LMNO, what are the values of x and y?

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21-11-2017
Mathematics

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n parallelogram LMNO, what are the values of x and y?

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tiara143 tiara143 · Answer 1 · 2017-11-22T05:13:49+01:00

tiara143 tiara143

22-11-2017

In parallelogram, LMNO,

Because Opposite angles are equal:
Therefore, 2x = 3x -55
Or x= 55
Now, the sum of angles in a parallelogram is 360
2x+3x-55+5y+5y =360
5x +10y -55 = 360
5*55 -55 + 10y = 360
10y +220 = 360
10y = 140
y=14
Thus, x=55 and y= 14

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