Answer:
[tex]m\angle x=35^o[/tex]
Step-by-step explanation:
step 1
we know that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ABC
we have
[tex]42^o+103^o+m\angle C=180^o[/tex]
[tex]m\angle C=180^o-145^o=35^o[/tex]
step 2
Find the measure of angle x
we know that
Segment BC is parallel to segment DE
so
[tex]m\angle x=m\angle C[/tex] ----> by corresponding angles
therefore
[tex]m\angle x=35^o[/tex]
