Answer

  1. 40º
    Solution:
    Given that,
    l ll m
    Let, l || m and transversal cuts them and
    $\angle1=70^\circ$
    $\angle3=20^\circ$
    $\angle4=30^\circ$
    $\angle1+\angle2=180^\circ$ (Interior angle)
    $\angle2=110^\circ\text{(i})$
    $\angle2=\angle5$ (Vertically opposite angle)
    $\angle5=110^\circ\text{(ii)}$
    $\angle5+\angle3+\angle4=180^\circ$(Sum of angles of a triangle is 180o)
    110º + x + 30º = 180º
    x = 40º.

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