Answer

  1. 45º
    Solution:
    l || m
    Let transversal be n and $\angle1=65^\circ$
    $\angle2=20^\circ$
    $\angle3=\text{x}$
    Since,
    l || m and n cuts them so,
    $\angle1+\angle4=180^\circ$ (Co. interior angle)
    $65^\circ+\angle4=80^\circ$
    $\angle4=115^\circ\text{(i)}$
    $\angle4=\angle5=115^\circ$ (Vertically opposite angle)
    $\angle2+\angle5+\angle3=180^\circ$
    20º + 115º + x = 180º
    x = 45º.

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