Answer:
[tex]x=120^o[/tex]
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
Find the measure of angle ABC
we know that
[tex]m\angle ABC=70^o[/tex] ----> by alternate interior angles
step 2
Find the measure of angle x
we know that
The Exterior Angle Theorem states that The exterior angle of a triangle is equal to the sum of the two opposite interior angles
so
In the triangle ABC
[tex]x=m\angle ABC+m\angle ACB[/tex]
we have
[tex]m\angle ABC=70^o[/tex]
[tex]m\angle ACB=50^o[/tex]
substitute
[tex]x=70^o+50^o=120^o[/tex]