Question

Find the value of $x$ , in the figure, for which l || m

Answer 1

As $l\parallel m$,

from the figure

$x-{30}^{\circ }$ and ${60}^{\circ }-2x$ are transversal angles

$⟹x-{30}^{\circ }={60}^{\circ }-2x$

$⟹3x={90}^{\circ }$

$⟹x={30}^{\circ }$