Respuesta :

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]

Ver imagen calculista