Answer:
[tex]m\angle x=120^o[/tex]
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle y
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In the bottom triangle of the figure
[tex]30^o+30^o+m\angle y=180^o[/tex]
solve for y
[tex]60^o+m\angle y=180^o[/tex]
[tex]m\angle y=180^o-60^o[/tex]
[tex]m\angle y=120^o[/tex]
step 2
we know that
[tex]m\angle x=m\angle y[/tex] ----> by vertical angles
we have
[tex]m\angle y=120^o[/tex]
therefore
[tex]m\angle x=120^o[/tex]
