in the figure below, $l \\parallel m$. find $x$.\n$x = \\square$

in the figure below, $l \\parallel m$. find $x$.\n$x = \\square$

in the figure below, $l \\parallel m$. find $x$.\n$x = \\square$

Answer

Explanation:

Step1: Find adjacent angle on line m

The supplementary angle to $132^\circ$ is $180^\circ - 132^\circ = 48^\circ$.

Step2: Use alternate interior angles

The $39^\circ$ angle on line $l$ has an alternate interior angle of $39^\circ$ on line $m$.

Step3: Apply triangle angle sum

The sum of angles in a triangle is $180^\circ$. So $x = 180^\circ - 39^\circ - 48^\circ$. $x = 93^\circ$

Answer:

$93$