Question

Find the value of $x$ in each of the following figure, if $I||m$.

Answer 1

$\angle LOA=\angle MDO$ [ corresponding angles $l\parallel m$ ]

$\therefore \angle LOA=2x°$

$\angle LOD+\angle LOA=180°$ [ $\therefore AE$ is a straight line ]

$\therefore 2x°+x°=180°$

$3x°+180°$

$x°=60°$

Hence, the answer is $60°.$