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: Use alternate interior angles

The angle corresponding to $67^\circ$ on line $m$ is also $67^\circ$.

Step2: Sum angles in a straight line

Angles on a straight line add to $180^\circ$. So $x + 80^\circ + 67^\circ = 180^\circ$.

Step3: Solve for $x$

Calculate $x = 180^\circ - 80^\circ - 67^\circ$ $x = 33^\circ$

Answer:

$33$