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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