Question

Find the value of x in the following figure, if the lines l & m are parallel to each other.

• A. $x={90}^{\circ }$
• B. $x={80}^{\circ }$
• C. $x={60}^{\circ }$
• D. $x={70}^{\circ }$

Answer 1

The correct option is C $x={60}^{\circ }$

$\text{Given, l, m are parallel and t is the transversal line.}\text{Sum of opposite interior angles is}{180}^{\circ }\text{.}x+2x=180\text{[Interior opposite angles]}\Rightarrow 3x={180}^{\circ }\Rightarrow x=\frac{{180}^{\circ }}{3}={60}^{\circ }$