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M and N complimentary angle



3x+8x-40=180



11x=220


x=20

Answer: Option 'd' is correct.

Step-by-step explanation:

Since we have given that

LMNO is a parallelogram.

Since we know that sum of adjacent angles is supplementary.

So, it becomes,

[tex]3x+8x-40=180^\circ\\\\11x-40=180^\circ\\\\11x=180+40\\\\11x=220^\circ\\\\x=\dfrac{220}{11}\\\\x=20^\circ[/tex]

Hence, aoption 'd' is correct.